48608857382400 has 1800 divisors, whose sum is σ = 209707859697336. Its totient is φ = 11087754854400.

The previous prime is 48608857382383. The next prime is 48608857382401. The reversal of 48608857382400 is 428375880684.

48608857382400 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 8 + 85 + 73 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48608857382401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 44554405855 + ... + 44554406945.

Almost surely, 2^{48608857382400} is an apocalyptic number.

48608857382400 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 48608857382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104853929848668).

48608857382400 is an abundant number, since it is smaller than the sum of its proper divisors (161099002314936).

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

48608857382400 is a wasteful number, since it uses less digits than its factorization.

48608857382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 48608857382400 in words is "forty-eight trillion, six hundred eight billion, eight hundred fifty-seven million, three hundred eighty-two thousand, four hundred".