51307848900 has 1152 divisors, whose sum is σ = 223985664000. Its totient is φ = 9751104000.

The previous prime is 51307848887. The next prime is 51307848973. The reversal of 51307848900 is 984870315.

51307848900 is a `hidden beast` number, since 513 + 0 + 7 + 8 + 48 + 90 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 122452891 + ... + 122453309.

It is an arithmetic number, because the mean of its divisors is an integer number (194432000).

Almost surely, 2^51307848900 is an apocalyptic number.

51307848900 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 51307848900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111992832000).

51307848900 is an abundant number, since it is smaller than the sum of its proper divisors (172677815100).

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

51307848900 is a wasteful number, since it uses less digits than its factorization.

51307848900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 51307848900 in words is "fifty-one billion, three hundred seven million, eight hundred forty-eight thousand, nine hundred".