48997757952 has 880 divisors, whose sum is σ = 182757339072. Its totient is φ = 12899450880.

The previous prime is 48997757929. The next prime is 48997757953. The reversal of 48997757952 is 25975779984.

48997757952 is a `hidden beast` number, since 48 + 9 + 9 + 7 + 7 + 579 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48997757953) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2882221048 + ... + 2882221064.

Almost surely, 2^48997757952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48997757952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91378669536).

48997757952 is an abundant number, since it is smaller than the sum of its proper divisors (133759581120).

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

48997757952 is an equidigital number, since it uses as much as digits as its factorization.

48997757952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its digits is 400075200, while the sum is 72.

The spelling of 48997757952 in words is "forty-eight billion, nine hundred ninety-seven million, seven hundred fifty-seven thousand, nine hundred fifty-two".