51537610545876 has 2304 divisors, whose sum is σ = 186735403008000. Its totient is φ = 12197035468800.

The previous prime is 51537610545859. The next prime is 51537610545877. The reversal of 51537610545876 is 67854501673515.

51537610545876 is a `hidden beast` number, since 5 + 1 + 5 + 3 + 7 + 6 + 1 + 0 + 545 + 87 + 6 = 666.

It is a super-2 number, since 2×51537610545876² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51537610545877) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 393416874331 + ... + 393416874461.

It is an arithmetic number, because the mean of its divisors is an integer number (81048352000).

Almost surely, 2^{51537610545876} 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 51537610545876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93367701504000).

51537610545876 is an abundant number, since it is smaller than the sum of its proper divisors (135197792462124).

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

51537610545876 is a wasteful number, since it uses less digits than its factorization.

51537610545876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 63.

The spelling of 51537610545876 in words is "fifty-one trillion, five hundred thirty-seven billion, six hundred ten million, five hundred forty-five thousand, eight hundred seventy-six".