51785124720 has 640 divisors, whose sum is σ = 199487232000. Its totient is φ = 11076452352.

The previous prime is 51785124673. The next prime is 51785124737. The reversal of 51785124720 is 2742158715.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176740894 + ... + 176741186.

It is an arithmetic number, because the mean of its divisors is an integer number (311698800).

Almost surely, 2^51785124720 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 51785124720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99743616000).

51785124720 is an abundant number, since it is smaller than the sum of its proper divisors (147702107280).

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

51785124720 is a wasteful number, since it uses less digits than its factorization.

51785124720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The spelling of 51785124720 in words is "fifty-one billion, seven hundred eighty-five million, one hundred twenty-four thousand, seven hundred twenty".