53879755849920 has 5376 divisors, whose sum is σ = 282443032166400. Its totient is φ = 9468555264000.

The previous prime is 53879755849891. The next prime is 53879755849921. The reversal of 53879755849920 is 2994855797835.

53879755849920 is a `hidden beast` number, since 5 + 3 + 8 + 7 + 9 + 7 + 5 + 584 + 9 + 9 + 20 = 666.

It is a super-3 number, since 3×53879755849920³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53879755849920.

It is not an unprimeable number, because it can be changed into a prime (53879755849921) 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 767 ways as a sum of consecutive naturals, for example, 35658341965 + ... + 35658343475.

It is an arithmetic number, because the mean of its divisors is an integer number (52537766400).

Almost surely, 2^{53879755849920} 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 53879755849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141221516083200).

53879755849920 is an abundant number, since it is smaller than the sum of its proper divisors (228563276316480).

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

53879755849920 is a wasteful number, since it uses less digits than its factorization.

53879755849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 6858432000, while the sum is 81.

The spelling of 53879755849920 in words is "fifty-three trillion, eight hundred seventy-nine billion, seven hundred fifty-five million, eight hundred forty-nine thousand, nine hundred twenty".