53745191974656 has 2160 divisors, whose sum is σ = 205970536833600. Its totient is φ = 13923165634560.

The previous prime is 53745191974613. The next prime is 53745191974687. The reversal of 53745191974656 is 65647919154735.

53745191974656 is a `hidden beast` number, since 5 + 3 + 7 + 4 + 519 + 19 + 7 + 46 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 73322226066 + ... + 73322226798.

Almost surely, 2^{53745191974656} is an apocalyptic number.

53745191974656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53745191974656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102985268416800).

53745191974656 is an abundant number, since it is smaller than the sum of its proper divisors (152225344858944).

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

53745191974656 is an equidigital number, since it uses as much as digits as its factorization.

53745191974656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 819 counting only the distinct ones).

The product of its digits is 857304000, while the sum is 72.

The spelling of 53745191974656 in words is "fifty-three trillion, seven hundred forty-five billion, one hundred ninety-one million, nine hundred seventy-four thousand, six hundred fifty-six".