51331679562240 has 5120 divisors, whose sum is σ = 249368999362560. Its totient is φ = 9814332211200.

The previous prime is 51331679562203. The next prime is 51331679562253. The reversal of 51331679562240 is 4226597613315.

51331679562240 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 1 + 6 + 7 + 9 + 5 + 622 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 307375326637 + ... + 307375326803.

It is an arithmetic number, because the mean of its divisors is an integer number (48704882688).

Almost surely, 2^{51331679562240} 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 51331679562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124684499681280).

51331679562240 is an abundant number, since it is smaller than the sum of its proper divisors (198037319800320).

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

51331679562240 is a wasteful number, since it uses less digits than its factorization.

51331679562240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 51331679562240 in words is "fifty-one trillion, three hundred thirty-one billion, six hundred seventy-nine million, five hundred sixty-two thousand, two hundred forty".