51001958400 has 672 divisors, whose sum is σ = 188684976960. Its totient is φ = 12079595520.

The previous prime is 51001958389. The next prime is 51001958431. The reversal of 51001958400 is 485910015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198451072 + ... + 198451328.

Almost surely, 2^51001958400 is an apocalyptic number.

51001958400 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 51001958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94342488480).

51001958400 is an abundant number, since it is smaller than the sum of its proper divisors (137683018560).

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

51001958400 is a wasteful number, since it uses less digits than its factorization.

51001958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 51001958400 in words is "fifty-one billion, one million, nine hundred fifty-eight thousand, four hundred".