48779746681800 has 48 divisors (see below), whose sum is σ = 151217214715440. Its totient is φ = 13007932448320.

The previous prime is 48779746681777. The next prime is 48779746681877. The reversal of 48779746681800 is 818664797784.

It is a super-2 number, since 2×48779746681800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40649788302 + ... + 40649789501.

It is an arithmetic number, because the mean of its divisors is an integer number (3150358639905).

Almost surely, 2^{48779746681800} is an apocalyptic number.

48779746681800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48779746681800 is an abundant number, since it is smaller than the sum of its proper divisors (102437468033640).

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

48779746681800 is a wasteful number, since it uses less digits than its factorization.

48779746681800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81299577822 (or 81299577813 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 75.

The spelling of 48779746681800 in words is "forty-eight trillion, seven hundred seventy-nine billion, seven hundred forty-six million, six hundred eighty-one thousand, eight hundred".