51132884000 has 192 divisors, whose sum is σ = 139308833664. Its totient is φ = 18288000000.

The previous prime is 51132883981. The next prime is 51132884081. The reversal of 51132884000 is 48823115.

It is a super-2 number, since 2×51132884000² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2674475 + ... + 2693525.

It is an arithmetic number, because the mean of its divisors is an integer number (725566842).

Almost surely, 2^51132884000 is an apocalyptic number.

51132884000 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 51132884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69654416832).

51132884000 is an abundant number, since it is smaller than the sum of its proper divisors (88175949664).

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

51132884000 is a wasteful number, since it uses less digits than its factorization.

51132884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19148 (or 19130 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 51132884000 in words is "fifty-one billion, one hundred thirty-two million, eight hundred eighty-four thousand".