48370116926880 has 1152 divisors, whose sum is σ = 199482528301056. Its totient is φ = 10438751232000.

The previous prime is 48370116926779. The next prime is 48370116926969. The reversal of 48370116926880 is 8862961107384.

48370116926880 is a `hidden beast` number, since 4 + 8 + 370 + 1 + 169 + 26 + 8 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17481067257 + ... + 17481070023.

It is an arithmetic number, because the mean of its divisors is an integer number (173161916928).

Almost surely, 2^{48370116926880} is an apocalyptic number.

48370116926880 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 48370116926880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99741264150528).

48370116926880 is an abundant number, since it is smaller than the sum of its proper divisors (151112411374176).

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

48370116926880 is a wasteful number, since it uses less digits than its factorization.

48370116926880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 48370116926880 in words is "forty-eight trillion, three hundred seventy billion, one hundred sixteen million, nine hundred twenty-six thousand, eight hundred eighty".