51515132400 has 180 divisors, whose sum is σ = 178878571872. Its totient is φ = 13729167360.

The previous prime is 51515132369. The next prime is 51515132407. The reversal of 51515132400 is 423151515.

51515132400 is a `hidden beast` number, since 515 + 15 + 132 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51515132407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8230072 + ... + 8236328.

Almost surely, 2^51515132400 is an apocalyptic number.

51515132400 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 51515132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89439285936).

51515132400 is an abundant number, since it is smaller than the sum of its proper divisors (127363439472).

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

51515132400 is a wasteful number, since it uses less digits than its factorization.

51515132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568 (or 8554 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 51515132400 its reverse (423151515), we get a palindrome (51938283915).

The spelling of 51515132400 in words is "fifty-one billion, five hundred fifteen million, one hundred thirty-two thousand, four hundred".