51034832990400 has 1344 divisors, whose sum is σ = 205733202391040. Its totient is φ = 10816727040000.

The previous prime is 51034832990371. The next prime is 51034832990417. The reversal of 51034832990400 is 409923843015.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 51034832990400.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8216843295 + ... + 8216849505.

Almost surely, 2^{51034832990400} is an apocalyptic number.

51034832990400 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 51034832990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102866601195520).

51034832990400 is an abundant number, since it is smaller than the sum of its proper divisors (154698369400640).

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

51034832990400 is a wasteful number, since it uses less digits than its factorization.

51034832990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6534 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 51034832990400 in words is "fifty-one trillion, thirty-four billion, eight hundred thirty-two million, nine hundred ninety thousand, four hundred".