51058536883200 has 2970 divisors, whose sum is σ = 241800890339778. Its totient is φ = 10607011430400.

The previous prime is 51058536883177. The next prime is 51058536883219. The reversal of 51058536883200 is 238863585015.

It is a happy number.

51058536883200 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 8 + 536 + 8 + 83 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 385551581184 + 50672985302016 = 620928^2 + 7118496^2 .

It is a tau number, because it is divible by the number of its divisors (2970).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 12294372324 + ... + 12294376476.

Almost surely, 2^{51058536883200} is an apocalyptic number.

51058536883200 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 51058536883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120900445169889).

51058536883200 is an abundant number, since it is smaller than the sum of its proper divisors (190742353456578).

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

51058536883200 is a wasteful number, since it uses less digits than its factorization.

51058536883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 51058536883200 in words is "fifty-one trillion, fifty-eight billion, five hundred thirty-six million, eight hundred eighty-three thousand, two hundred".