51093897120 has 768 divisors, whose sum is σ = 227830579200. Its totient is φ = 10411130880.

The previous prime is 51093897097. The next prime is 51093897251. The reversal of 51093897120 is 2179839015.

51093897120 is a `hidden beast` number, since 510 + 9 + 3 + 8 + 9 + 7 + 120 = 666.

It is a super-2 number, since 2×51093897120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9764905 + ... + 9770135.

It is an arithmetic number, because the mean of its divisors is an integer number (296654400).

Almost surely, 2^51093897120 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 51093897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113915289600).

51093897120 is an abundant number, since it is smaller than the sum of its proper divisors (176736682080).

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

51093897120 is a wasteful number, since it uses less digits than its factorization.

51093897120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 51093897120 in words is "fifty-one billion, ninety-three million, eight hundred ninety-seven thousand, one hundred twenty".