51601132851840 has 1536 divisors, whose sum is σ = 219140410245120. Its totient is φ = 11016843264000.

The previous prime is 51601132851833. The next prime is 51601132851857. The reversal of 51601132851840 is 4815823110615.

51601132851840 is a `hidden beast` number, since 5 + 1 + 60 + 1 + 1 + 32 + 8 + 518 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1812905449 + ... + 1812933911.

It is an arithmetic number, because the mean of its divisors is an integer number (142669537920).

Almost surely, 2^{51601132851840} 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 51601132851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109570205122560).

51601132851840 is an abundant number, since it is smaller than the sum of its proper divisors (167539277393280).

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

51601132851840 is a wasteful number, since it uses less digits than its factorization.

51601132851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28614 (or 28599 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 51601132851840 in words is "fifty-one trillion, six hundred one billion, one hundred thirty-two million, eight hundred fifty-one thousand, eight hundred forty".