48156277800960 has 1904 divisors, whose sum is σ = 204644906173440. Its totient is φ = 10640613703680.

The previous prime is 48156277800941. The next prime is 48156277800971. The reversal of 48156277800960 is 6900877265184.

48156277800960 is a `hidden beast` number, since 4 + 8 + 1 + 562 + 7 + 7 + 8 + 0 + 0 + 9 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 51836681776 + ... + 51836682704.

Almost surely, 2^{48156277800960} is an apocalyptic number.

48156277800960 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 48156277800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102322453086720).

48156277800960 is an abundant number, since it is smaller than the sum of its proper divisors (156488628372480).

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

48156277800960 is an frugal number, since it uses more digits than its factorization.

48156277800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 48156277800960 in words is "forty-eight trillion, one hundred fifty-six billion, two hundred seventy-seven million, eight hundred thousand, nine hundred sixty".