49679831520 has 576 divisors, whose sum is σ = 193221080640. Its totient is φ = 11911680000.

The previous prime is 49679831437. The next prime is 49679831543. The reversal of 49679831520 is 2513897694.

49679831520 is a `hidden beast` number, since 49 + 6 + 79 + 8 + 3 + 1 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52794250 + ... + 52795190.

It is an arithmetic number, because the mean of its divisors is an integer number (335453265).

It is a 1-persistent number, because it is pandigital, but 2⋅49679831520 = 99359663040 is not.

Almost surely, 2^49679831520 is an apocalyptic number.

49679831520 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 49679831520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96610540320).

49679831520 is an abundant number, since it is smaller than the sum of its proper divisors (143541249120).

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

49679831520 is a wasteful number, since it uses less digits than its factorization.

49679831520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 49679831520 in words is "forty-nine billion, six hundred seventy-nine million, eight hundred thirty-one thousand, five hundred twenty".