48780999352000 has 224 divisors, whose sum is σ = 124234378684416. Its totient is φ = 18962382848000.

The previous prime is 48780999351983. The next prime is 48780999352027. The reversal of 48780999352000 is 25399908784.

48780999352000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84006657 + ... + 84585343.

It is an arithmetic number, because the mean of its divisors is an integer number (554617761984).

Almost surely, 2^{48780999352000} is an apocalyptic number.

48780999352000 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 48780999352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62117189342208).

48780999352000 is an abundant number, since it is smaller than the sum of its proper divisors (75453379332416).

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

48780999352000 is a wasteful number, since it uses less digits than its factorization.

48780999352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579012 (or 578992 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

The spelling of 48780999352000 in words is "forty-eight trillion, seven hundred eighty billion, nine hundred ninety-nine million, three hundred fifty-two thousand".