53756356099680 has 1920 divisors, whose sum is σ = 213774582067200. Its totient is φ = 12637233709056.

The previous prime is 53756356099669. The next prime is 53756356099687. The reversal of 53756356099680 is 8699065365735.

53756356099680 is a `hidden beast` number, since 5 + 3 + 7 + 5 + 6 + 3 + 5 + 609 + 9 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×53756356099680² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 53756356099599 and 53756356099608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53756356099687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 58494402261 + ... + 58494403179.

It is an arithmetic number, because the mean of its divisors is an integer number (111340928160).

Almost surely, 2^{53756356099680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53756356099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106887291033600).

53756356099680 is an abundant number, since it is smaller than the sum of its proper divisors (160018225967520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53756356099680 is a wasteful number, since it uses less digits than its factorization.

53756356099680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 1102248000, while the sum is 72.

The spelling of 53756356099680 in words is "fifty-three trillion, seven hundred fifty-six billion, three hundred fifty-six million, ninety-nine thousand, six hundred eighty".