48795141256320 has 1024 divisors, whose sum is σ = 172271204352000. Its totient is φ = 11711936102400.

The previous prime is 48795141256319. The next prime is 48795141256343. The reversal of 48795141256320 is 2365214159784.

It is a happy number.

It is a super-3 number, since 3×48795141256320³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64119764740 + ... + 64119765500.

It is an arithmetic number, because the mean of its divisors is an integer number (168233598000).

It is a 1-persistent number, because it is pandigital, but 2⋅48795141256320 = 97590282512640 is not.

Almost surely, 2^{48795141256320} is an apocalyptic number.

48795141256320 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 48795141256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86135602176000).

48795141256320 is an abundant number, since it is smaller than the sum of its proper divisors (123476063095680).

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

48795141256320 is an equidigital number, since it uses as much as digits as its factorization.

48795141256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 48795141256320 in words is "forty-eight trillion, seven hundred ninety-five billion, one hundred forty-one million, two hundred fifty-six thousand, three hundred twenty".