49591595520 has 280 divisors, whose sum is σ = 178280554716. Its totient is φ = 13223927808.

The previous prime is 49591595519. The next prime is 49591595533. The reversal of 49591595520 is 2559519594.

49591595520 is a `hidden beast` number, since 49 + 5 + 9 + 1 + 595 + 5 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44991500544 + 4600094976 = 212112^2 + 67824^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1852954 + ... + 1879526.

Almost surely, 2^49591595520 is an apocalyptic number.

49591595520 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 49591595520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89140277358).

49591595520 is an abundant number, since it is smaller than the sum of its proper divisors (128688959196).

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

49591595520 is an frugal number, since it uses more digits than its factorization.

49591595520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26614 (or 26583 counting only the distinct ones).

The product of its (nonzero) digits is 3645000, while the sum is 54.

The spelling of 49591595520 in words is "forty-nine billion, five hundred ninety-one million, five hundred ninety-five thousand, five hundred twenty".