47552698756800 has 1008 divisors, whose sum is σ = 177603212666880. Its totient is φ = 12044328468480.

The previous prime is 47552698756769. The next prime is 47552698756811. The reversal of 47552698756800 is 865789625574.

47552698756800 is a `hidden beast` number, since 4 + 7 + 5 + 52 + 6 + 9 + 8 + 7 + 568 + 0 + 0 = 666.

It is a super-2 number, since 2×47552698756800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48672157912 + ... + 48672158888.

It is an arithmetic number, because the mean of its divisors is an integer number (176193663360).

Almost surely, 2^{47552698756800} is an apocalyptic number.

47552698756800 is a gapful number since it is divisible by the number (40) 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 47552698756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88801606333440).

47552698756800 is an abundant number, since it is smaller than the sum of its proper divisors (130050513910080).

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

47552698756800 is a wasteful number, since it uses less digits than its factorization.

47552698756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 47552698756800 in words is "forty-seven trillion, five hundred fifty-two billion, six hundred ninety-eight million, seven hundred fifty-six thousand, eight hundred".