51150078720 has 1152 divisors, whose sum is σ = 213740916480. Its totient is φ = 11466178560.

The previous prime is 51150078697. The next prime is 51150078761. The reversal of 51150078720 is 2787005115.

51150078720 is a `hidden beast` number, since 5 + 11 + 500 + 78 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 282597030 + ... + 282597210.

It is an arithmetic number, because the mean of its divisors is an integer number (185538990).

Almost surely, 2^51150078720 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 51150078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106870458240).

51150078720 is an abundant number, since it is smaller than the sum of its proper divisors (162590837760).

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

51150078720 is a wasteful number, since it uses less digits than its factorization.

51150078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 51150078720 in words is "fifty-one billion, one hundred fifty million, seventy-eight thousand, seven hundred twenty".