48952123139760 has 160 divisors (see below), whose sum is σ = 161071006956480. Its totient is φ = 12255983468544.

The previous prime is 48952123139723. The next prime is 48952123139813. The reversal of 48952123139760 is 6793132125984.

It is a super-3 number, since 3×48952123139760³ (a number of 42 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 48952123139694 and 48952123139703.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12998847 + ... + 16336286.

It is an arithmetic number, because the mean of its divisors is an integer number (1006693793478).

It is a 1-persistent number, because it is pandigital, but 2⋅48952123139760 = 97904246279520 is not.

Almost surely, 2^{48952123139760} is an apocalyptic number.

48952123139760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48952123139760 is an abundant number, since it is smaller than the sum of its proper divisors (112118883816720).

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

48952123139760 is a wasteful number, since it uses less digits than its factorization.

48952123139760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29335575 (or 29335569 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 48952123139760 in words is "forty-eight trillion, nine hundred fifty-two billion, one hundred twenty-three million, one hundred thirty-nine thousand, seven hundred sixty".