51240789600 has 1296 divisors, whose sum is σ = 230495028624. Its totient is φ = 9792921600.

The previous prime is 51240789599. The next prime is 51240789619. The reversal of 51240789600 is 698704215.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 184984662 + ... + 184984938.

Almost surely, 2^51240789600 is an apocalyptic number.

51240789600 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 51240789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115247514312).

51240789600 is an abundant number, since it is smaller than the sum of its proper divisors (179254239024).

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

51240789600 is a wasteful number, since it uses less digits than its factorization.

51240789600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 51240789600 in words is "fifty-one billion, two hundred forty million, seven hundred eighty-nine thousand, six hundred".