51012892800 has 864 divisors, whose sum is σ = 201407890320. Its totient is φ = 12746833920.

The previous prime is 51012892769. The next prime is 51012892813. The reversal of 51012892800 is 829821015.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 224726287 + ... + 224726513.

Almost surely, 2^51012892800 is an apocalyptic number.

51012892800 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 51012892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100703945160).

51012892800 is an abundant number, since it is smaller than the sum of its proper divisors (150394997520).

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

51012892800 is a wasteful number, since it uses less digits than its factorization.

51012892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 51012892800 in words is "fifty-one billion, twelve million, eight hundred ninety-two thousand, eight hundred".