53746869496320 has 4800 divisors, whose sum is σ = 267300266188032. Its totient is φ = 10144382976000.

The previous prime is 53746869496301. The next prime is 53746869496339. The reversal of 53746869496320 is 2369496864735.

53746869496320 is a `hidden beast` number, since 5 + 3 + 7 + 46 + 8 + 69 + 496 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53746869496301) and next prime (53746869496339).

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

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 103160977660 + ... + 103160978180.

Almost surely, 2^{53746869496320} 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 53746869496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133650133094016).

53746869496320 is an abundant number, since it is smaller than the sum of its proper divisors (213553396691712).

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

53746869496320 is a wasteful number, since it uses less digits than its factorization.

53746869496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 53746869496320 in words is "fifty-three trillion, seven hundred forty-six billion, eight hundred sixty-nine million, four hundred ninety-six thousand, three hundred twenty".