51155076905856 has 576 divisors, whose sum is σ = 186904587317760. Its totient is φ = 13279908096000.

The previous prime is 51155076905839. The next prime is 51155076905873. The reversal of 51155076905856 is 65850967055115.

51155076905856 is a `hidden beast` number, since 5 + 1 + 1 + 550 + 76 + 9 + 0 + 5 + 8 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (51155076905839) and next prime (51155076905873).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 51155076905793 and 51155076905802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1211409415 + ... + 1211451641.

It is an arithmetic number, because the mean of its divisors is an integer number (324487130760).

Almost surely, 2^{51155076905856} is an apocalyptic number.

51155076905856 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 51155076905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93452293658880).

51155076905856 is an abundant number, since it is smaller than the sum of its proper divisors (135749510411904).

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

51155076905856 is a wasteful number, since it uses less digits than its factorization.

51155076905856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44223 (or 44201 counting only the distinct ones).

The product of its (nonzero) digits is 56700000, while the sum is 63.

The spelling of 51155076905856 in words is "fifty-one trillion, one hundred fifty-five billion, seventy-six million, nine hundred five thousand, eight hundred fifty-six".