48735129120 has 48 divisors (see below), whose sum is σ = 153515658240. Its totient is φ = 12996034304.

The previous prime is 48735129119. The next prime is 48735129133. The reversal of 48735129120 is 2192153784.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×48735129120² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50765280 + ... + 50766239.

It is an arithmetic number, because the mean of its divisors is an integer number (3198242880).

Almost surely, 2^48735129120 is an apocalyptic number.

48735129120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48735129120 is an abundant number, since it is smaller than the sum of its proper divisors (104780529120).

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

48735129120 is a wasteful number, since it uses less digits than its factorization.

48735129120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101531537 (or 101531529 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 48735129120 in words is "forty-eight billion, seven hundred thirty-five million, one hundred twenty-nine thousand, one hundred twenty".