51977882880 has 972 divisors, whose sum is σ = 230248585476. Its totient is φ = 10786406400.

The previous prime is 51977882867. The next prime is 51977882897. The reversal of 51977882880 is 8828877915.

It can be written as a sum of positive squares in 2 ways, for example, as 6024243456 + 45953639424 = 77616^2 + 214368^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 68301700 + ... + 68302460.

Almost surely, 2^51977882880 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 51977882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115124292738).

51977882880 is an abundant number, since it is smaller than the sum of its proper divisors (178270702596).

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

51977882880 is a wasteful number, since it uses less digits than its factorization.

51977882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 51977882880 in words is "fifty-one billion, nine hundred seventy-seven million, eight hundred eighty-two thousand, eight hundred eighty".