47981907792000 has 7680 divisors, whose sum is σ = 246475861632000. Its totient is φ = 9173838643200.

The previous prime is 47981907791999. The next prime is 47981907792017. The reversal of 47981907792000 is 29770918974.

47981907792000 is a `hidden beast` number, since 479 + 8 + 1 + 9 + 0 + 77 + 92 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2086169903989 + ... + 2086169904011.

It is an arithmetic number, because the mean of its divisors is an integer number (32093211150).

Almost surely, 2^{47981907792000} is an apocalyptic number.

47981907792000 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 47981907792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123237930816000).

47981907792000 is an abundant number, since it is smaller than the sum of its proper divisors (198493953840000).

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

47981907792000 is a wasteful number, since it uses less digits than its factorization.

47981907792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 47981907792000 in words is "forty-seven trillion, nine hundred eighty-one billion, nine hundred seven million, seven hundred ninety-two thousand".