51601615296 has 224 divisors, whose sum is σ = 170524334592. Its totient is φ = 13378928640.

The previous prime is 51601615279. The next prime is 51601615327. The reversal of 51601615296 is 69251610615.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9118900 + ... + 9124556.

Almost surely, 2^51601615296 is an apocalyptic number.

51601615296 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 51601615296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85262167296).

51601615296 is an abundant number, since it is smaller than the sum of its proper divisors (118922719296).

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

51601615296 is a wasteful number, since it uses less digits than its factorization.

51601615296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6307 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 51601615296 in words is "fifty-one billion, six hundred one million, six hundred fifteen thousand, two hundred ninety-six".