51616051200 has 1170 divisors, whose sum is σ = 224165521536. Its totient is φ = 11705057280.

The previous prime is 51616051189. The next prime is 51616051229. The reversal of 51616051200 is 215061615.

It is a happy number.

51616051200 is a `hidden beast` number, since 51 + 6 + 1 + 605 + 1 + 2 + 0 + 0 = 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 89 ways as a sum of consecutive naturals, for example, 406425537 + ... + 406425663.

Almost surely, 2^51616051200 is an apocalyptic number.

51616051200 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 51616051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112082760768).

51616051200 is an abundant number, since it is smaller than the sum of its proper divisors (172549470336).

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

51616051200 is a wasteful number, since it uses less digits than its factorization.

51616051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 51616051200 in words is "fifty-one billion, six hundred sixteen million, fifty-one thousand, two hundred".