47901602880 has 448 divisors, whose sum is σ = 173809152000. Its totient is φ = 12413270016.

The previous prime is 47901602869. The next prime is 47901602887. The reversal of 47901602880 is 8820610974.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47901602887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72687991 + ... + 72688649.

Almost surely, 2^47901602880 is an apocalyptic number.

47901602880 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 47901602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86904576000).

47901602880 is an abundant number, since it is smaller than the sum of its proper divisors (125907549120).

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

47901602880 is a wasteful number, since it uses less digits than its factorization.

47901602880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 47901602880 in words is "forty-seven billion, nine hundred one million, six hundred two thousand, eight hundred eighty".