47886820876800 has 480 divisors, whose sum is σ = 176820626505600. Its totient is φ = 12693337620480.

The previous prime is 47886820876781. The next prime is 47886820876847. The reversal of 47886820876800 is 867802868874.

47886820876800 is a `hidden beast` number, since 478 + 8 + 6 + 8 + 2 + 0 + 8 + 76 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×47886820876800² (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 47 ways as a sum of consecutive naturals, for example, 57300346 + ... + 58130054.

It is an arithmetic number, because the mean of its divisors is an integer number (368376305220).

Almost surely, 2^{47886820876800} is an apocalyptic number.

47886820876800 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 47886820876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88410313252800).

47886820876800 is an abundant number, since it is smaller than the sum of its proper divisors (128933805628800).

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

47886820876800 is a wasteful number, since it uses less digits than its factorization.

47886820876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829913 (or 829886 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 72.

The spelling of 47886820876800 in words is "forty-seven trillion, eight hundred eighty-six billion, eight hundred twenty million, eight hundred seventy-six thousand, eight hundred".