49681829520 has 200 divisors, whose sum is σ = 182702897784. Its totient is φ = 12469137408.

The previous prime is 49681829507. The next prime is 49681829521. The reversal of 49681829520 is 2592818694.

It is a happy number.

49681829520 is a `hidden beast` number, since 4 + 96 + 8 + 1 + 8 + 29 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2823434496 + 46858395024 = 53136^2 + 216468^2 .

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

It is not an unprimeable number, because it can be changed into a prime (49681829521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115339 + ... + 335658.

Almost surely, 2^49681829520 is an apocalyptic number.

49681829520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49681829520 is an abundant number, since it is smaller than the sum of its proper divisors (133021068264).

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

49681829520 is a wasteful number, since it uses less digits than its factorization.

49681829520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451039 (or 451024 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 49681829520 in words is "forty-nine billion, six hundred eighty-one million, eight hundred twenty-nine thousand, five hundred twenty".