47797516800 has 1080 divisors, whose sum is σ = 196517088768. Its totient is φ = 11496038400.

The previous prime is 47797516799. The next prime is 47797516807. The reversal of 47797516800 is 861579774.

47797516800 is a `hidden beast` number, since 47 + 7 + 9 + 7 + 516 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×47797516800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (47797516807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 376358337 + ... + 376358463.

Almost surely, 2^47797516800 is an apocalyptic number.

47797516800 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 47797516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98258544384).

47797516800 is an abundant number, since it is smaller than the sum of its proper divisors (148719571968).

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

47797516800 is a wasteful number, since it uses less digits than its factorization.

47797516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 47797516800 in words is "forty-seven billion, seven hundred ninety-seven million, five hundred sixteen thousand, eight hundred".