51338232000 has 1792 divisors, whose sum is σ = 230060113920. Its totient is φ = 11059200000.

The previous prime is 51338231999. The next prime is 51338232013. The reversal of 51338232000 is 23283315.

51338232000 is a `hidden beast` number, since 5 + 1 + 338 + 2 + 320 + 0 + 0 = 666.

It is a super-2 number, since 2×51338232000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1252151980 + ... + 1252152020.

It is an arithmetic number, because the mean of its divisors is an integer number (128381760).

Almost surely, 2^51338232000 is an apocalyptic number.

51338232000 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 51338232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115030056960).

51338232000 is an abundant number, since it is smaller than the sum of its proper divisors (178721881920).

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

51338232000 is a wasteful number, since it uses less digits than its factorization.

51338232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 51338232000 in words is "fifty-one billion, three hundred thirty-eight million, two hundred thirty-two thousand".