51149010124800 has 1620 divisors, whose sum is σ = 217518649304320. Its totient is φ = 11686902497280.

The previous prime is 51149010124777. The next prime is 51149010124801. The reversal of 51149010124800 is 842101094115.

51149010124800 is a `hidden beast` number, since 511 + 4 + 9 + 0 + 10 + 124 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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 not an unprimeable number, because it can be changed into a prime (51149010124801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18811697841 + ... + 18811700559.

Almost surely, 2^{51149010124800} is an apocalyptic number.

51149010124800 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 51149010124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108759324652160).

51149010124800 is an abundant number, since it is smaller than the sum of its proper divisors (166369639179520).

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

51149010124800 is an frugal number, since it uses more digits than its factorization.

51149010124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2736 counting only the distinct ones).

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

The spelling of 51149010124800 in words is "fifty-one trillion, one hundred forty-nine billion, ten million, one hundred twenty-four thousand, eight hundred".