47994962560 has 128 divisors (see below), whose sum is σ = 118311399360. Its totient is φ = 18606981120.

The previous prime is 47994962501. The next prime is 47994962579. The reversal of 47994962560 is 6526949974.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×47994962560² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3598464 + ... + 3611776.

Almost surely, 2^47994962560 is an apocalyptic number.

47994962560 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 47994962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59155699680).

47994962560 is an abundant number, since it is smaller than the sum of its proper divisors (70316436800).

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

47994962560 is a wasteful number, since it uses less digits than its factorization.

47994962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13506 (or 13494 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 61.

The spelling of 47994962560 in words is "forty-seven billion, nine hundred ninety-four million, nine hundred sixty-two thousand, five hundred sixty".