51132503400 has 192 divisors, whose sum is σ = 175853030400. Its totient is φ = 12185568000.

The previous prime is 51132503393. The next prime is 51132503407. The reversal of 51132503400 is 430523115.

It is an interprime number because it is at equal distance from previous prime (51132503393) and next prime (51132503407).

It is a super-2 number, since 2×51132503400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51132503407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323745 + ... + 455055.

It is an arithmetic number, because the mean of its divisors is an integer number (915901200).

Almost surely, 2^51132503400 is an apocalyptic number.

51132503400 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 51132503400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87926515200).

51132503400 is an abundant number, since it is smaller than the sum of its proper divisors (124720527000).

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

51132503400 is a wasteful number, since it uses less digits than its factorization.

51132503400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131400 (or 131391 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 51132503400 in words is "fifty-one billion, one hundred thirty-two million, five hundred three thousand, four hundred".