51978057552000 has 768 divisors, whose sum is σ = 187659763200000. Its totient is φ = 13787263795200.

The previous prime is 51978057551863. The next prime is 51978057552013. The reversal of 51978057552000 is 25575087915.

51978057552000 is a `hidden beast` number, since 5 + 1 + 9 + 7 + 80 + 5 + 7 + 552 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24763246951 + ... + 24763249049.

It is an arithmetic number, because the mean of its divisors is an integer number (244348650000).

Almost surely, 2^{51978057552000} is an apocalyptic number.

51978057552000 is a gapful number since it is divisible by the number (50) 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 51978057552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93829881600000).

51978057552000 is an abundant number, since it is smaller than the sum of its proper divisors (135681705648000).

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

51978057552000 is a wasteful number, since it uses less digits than its factorization.

51978057552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 4410000, while the sum is 54.

The spelling of 51978057552000 in words is "fifty-one trillion, nine hundred seventy-eight billion, fifty-seven million, five hundred fifty-two thousand".