48591601920 has 432 divisors, whose sum is σ = 180394119360. Its totient is φ = 12508618752.

The previous prime is 48591601897. The next prime is 48591601957. The reversal of 48591601920 is 2910619584.

48591601920 is a `hidden beast` number, since 48 + 591 + 6 + 0 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×48591601920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9017467 + ... + 9022853.

It is an arithmetic number, because the mean of its divisors is an integer number (417578980).

Almost surely, 2^48591601920 is an apocalyptic number.

48591601920 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 48591601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90197059680).

48591601920 is an abundant number, since it is smaller than the sum of its proper divisors (131802517440).

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

48591601920 is an equidigital number, since it uses as much as digits as its factorization.

48591601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5452 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 48591601920 in words is "forty-eight billion, five hundred ninety-one million, six hundred one thousand, nine hundred twenty".