51613689600 has 972 divisors, whose sum is σ = 212251024440. Its totient is φ = 11853004800.

The previous prime is 51613689583. The next prime is 51613689667. The reversal of 51613689600 is 698631615.

51613689600 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 36 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 973843174 + ... + 973843226.

Almost surely, 2^51613689600 is an apocalyptic number.

51613689600 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 51613689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106125512220).

51613689600 is an abundant number, since it is smaller than the sum of its proper divisors (160637334840).

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

51613689600 is a wasteful number, since it uses less digits than its factorization.

51613689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 51613689600 in words is "fifty-one billion, six hundred thirteen million, six hundred eighty-nine thousand, six hundred".