51127113492000 has 1152 divisors, whose sum is σ = 231594863205888. Its totient is φ = 10787240448000.

The previous prime is 51127113491989. The next prime is 51127113492053. The reversal of 51127113492000 is 29431172115.

It is a happy number.

51127113492000 is a `hidden beast` number, since 51 + 1 + 2 + 7 + 113 + 492 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×51127113492000² (a number of 28 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 88162990 + ... + 88741010.

It is an arithmetic number, because the mean of its divisors is an integer number (201037207644).

Almost surely, 2^{51127113492000} is an apocalyptic number.

51127113492000 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 51127113492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115797431602944).

51127113492000 is an abundant number, since it is smaller than the sum of its proper divisors (180467749713888).

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

51127113492000 is a wasteful number, since it uses less digits than its factorization.

51127113492000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578081 (or 578051 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 51127113492000 in words is "fifty-one trillion, one hundred twenty-seven billion, one hundred thirteen million, four hundred ninety-two thousand".