48900153600 has 756 divisors, whose sum is σ = 186162418176. Its totient is φ = 12705361920.

The previous prime is 48900153581. The next prime is 48900153611. The reversal of 48900153600 is 635100984.

48900153600 is a `hidden beast` number, since 48 + 9 + 0 + 0 + 1 + 5 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 219283089 + ... + 219283311.

Almost surely, 2^48900153600 is an apocalyptic number.

48900153600 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 48900153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93081209088).

48900153600 is an abundant number, since it is smaller than the sum of its proper divisors (137262264576).

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

48900153600 is an equidigital number, since it uses as much as digits as its factorization.

48900153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 48900 and 153600, that added together give a square (202500 = 450²).

The spelling of 48900153600 in words is "forty-eight billion, nine hundred million, one hundred fifty-three thousand, six hundred".