47904293928960 has 4800 divisors, whose sum is σ = 228007486586880. Its totient is φ = 9356401704960.

The previous prime is 47904293928917. The next prime is 47904293929043. The reversal of 47904293928960 is 6982939240974.

47904293928960 is a `hidden beast` number, since 4 + 7 + 90 + 429 + 3 + 9 + 28 + 96 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 465090232269 + ... + 465090232371.

Almost surely, 2^{47904293928960} is an apocalyptic number.

47904293928960 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 47904293928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114003743293440).

47904293928960 is an abundant number, since it is smaller than the sum of its proper divisors (180103192657920).

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

47904293928960 is a wasteful number, since it uses less digits than its factorization.

47904293928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 47904293928960 in words is "forty-seven trillion, nine hundred four billion, two hundred ninety-three million, nine hundred twenty-eight thousand, nine hundred sixty".