51772069931904 has 896 divisors, whose sum is σ = 178596790394880. Its totient is φ = 14636442562560.

The previous prime is 51772069931861. The next prime is 51772069931909. The reversal of 51772069931904 is 40913996027715.

51772069931904 is a `hidden beast` number, since 517 + 7 + 20 + 6 + 9 + 9 + 3 + 1 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51772069931909) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 47366943582 + ... + 47366944674.

Almost surely, 2^{51772069931904} is an apocalyptic number.

51772069931904 is a gapful number since it is divisible by the number (54) 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 51772069931904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89298395197440).

51772069931904 is an abundant number, since it is smaller than the sum of its proper divisors (126824720462976).

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

51772069931904 is a wasteful number, since it uses less digits than its factorization.

51772069931904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 51772069931904 in words is "fifty-one trillion, seven hundred seventy-two billion, sixty-nine million, nine hundred thirty-one thousand, nine hundred four".