51133408272 has 160 divisors (see below), whose sum is σ = 153501960960. Its totient is φ = 16266286080.

The previous prime is 51133408241. The next prime is 51133408327. The reversal of 51133408272 is 27280433115.

51133408272 is a `hidden beast` number, since 51 + 1 + 334 + 0 + 8 + 272 = 666.

51133408272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51133408272² (a number of 22 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 31 ways as a sum of consecutive naturals, for example, 4535122 + ... + 4546382.

It is an arithmetic number, because the mean of its divisors is an integer number (959387256).

Almost surely, 2^51133408272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51133408272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76750980480).

51133408272 is an abundant number, since it is smaller than the sum of its proper divisors (102368552688).

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

51133408272 is a wasteful number, since it uses less digits than its factorization.

51133408272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11746 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 51133408272 in words is "fifty-one billion, one hundred thirty-three million, four hundred eight thousand, two hundred seventy-two".