48917729280 has 416 divisors, whose sum is σ = 180718884864. Its totient is φ = 11066277888.

The previous prime is 48917729269. The next prime is 48917729281. The reversal of 48917729280 is 8292771984.

It is a super-2 number, since 2×48917729280² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48917729280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48917729281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46018029 + ... + 46019091.

Almost surely, 2^48917729280 is an apocalyptic number.

48917729280 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 48917729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90359442432).

48917729280 is an abundant number, since it is smaller than the sum of its proper divisors (131801155584).

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

48917729280 is a wasteful number, since it uses less digits than its factorization.

48917729280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 48917729280 in words is "forty-eight billion, nine hundred seventeen million, seven hundred twenty-nine thousand, two hundred eighty".