51197508000 has 240 divisors, whose sum is σ = 187913109384. Its totient is φ = 13652582400.

The previous prime is 51197507927. The next prime is 51197508059. The reversal of 51197508000 is 80579115.

51197508000 is a `hidden beast` number, since 511 + 97 + 50 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18002125584 + 33195382416 = 134172^2 + 182196^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244992 + ... + 403008.

Almost surely, 2^51197508000 is an apocalyptic number.

51197508000 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 51197508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93956554692).

51197508000 is an abundant number, since it is smaller than the sum of its proper divisors (136715601384).

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

51197508000 is a wasteful number, since it uses less digits than its factorization.

51197508000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158054 (or 158027 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 51197508000 in words is "fifty-one billion, one hundred ninety-seven million, five hundred eight thousand".