51915600 has 480 divisors, whose sum is σ = 221414400. Its totient is φ = 11404800.

The previous prime is 51915571. The next prime is 51915641. The reversal of 51915600 is 651915.

51915600 is a `hidden beast` number, since 51 + 9 + 1 + 5 + 600 = 666.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2257189 + ... + 2257211.

It is an arithmetic number, because the mean of its divisors is an integer number (461280).

Almost surely, 2^51915600 is an apocalyptic number.

51915600 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 51915600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110707200).

51915600 is an abundant number, since it is smaller than the sum of its proper divisors (169498800).

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

51915600 is a wasteful number, since it uses less digits than its factorization.

51915600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 51915600 is about 7205.2480873319. The cubic root of 51915600 is about 373.0490679051.

The spelling of 51915600 in words is "fifty-one million, nine hundred fifteen thousand, six hundred".