51112039219200 has 408 divisors, whose sum is σ = 187788147976800. Its totient is φ = 13629865328640.

The previous prime is 51112039219169. The next prime is 51112039219247. The reversal of 51112039219200 is 291293021115.

51112039219200 is a `hidden beast` number, since 51 + 1 + 1 + 2 + 0 + 392 + 19 + 200 = 666.

It is a super-3 number, since 3×51112039219200³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43659091 + ... + 44814509.

Almost surely, 2^{51112039219200} is an apocalyptic number.

51112039219200 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 51112039219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93894073988400).

51112039219200 is an abundant number, since it is smaller than the sum of its proper divisors (136676108757600).

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

51112039219200 is an equidigital number, since it uses as much as digits as its factorization.

51112039219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155470 (or 1155429 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 51112039219200 in words is "fifty-one trillion, one hundred twelve billion, thirty-nine million, two hundred nineteen thousand, two hundred".