48576941670400 has 1080 divisors, whose sum is σ = 146409968662272. Its totient is φ = 15761276928000.

The previous prime is 48576941670391. The next prime is 48576941670427. The reversal of 48576941670400 is 407614967584.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56288460369 + ... + 56288461231.

Almost surely, 2^{48576941670400} is an apocalyptic number.

48576941670400 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 48576941670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73204984331136).

48576941670400 is an abundant number, since it is smaller than the sum of its proper divisors (97833026991872).

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

48576941670400 is a wasteful number, since it uses less digits than its factorization.

48576941670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 48576941670400 in words is "forty-eight trillion, five hundred seventy-six billion, nine hundred forty-one million, six hundred seventy thousand, four hundred".