51849252000 has 2304 divisors, whose sum is σ = 257572224000. Its totient is φ = 9754214400.

The previous prime is 51849251977. The next prime is 51849252001. The reversal of 51849252000 is 25294815.

51849252000 is a `hidden beast` number, since 51 + 84 + 9 + 2 + 520 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (51849252001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2728907991 + ... + 2728908009.

It is an arithmetic number, because the mean of its divisors is an integer number (111793500).

Almost surely, 2^51849252000 is an apocalyptic number.

51849252000 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 51849252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128786112000).

51849252000 is an abundant number, since it is smaller than the sum of its proper divisors (205722972000).

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

51849252000 is a wasteful number, since it uses less digits than its factorization.

51849252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 51849252000 in words is "fifty-one billion, eight hundred forty-nine million, two hundred fifty-two thousand".