49507540992 has 672 divisors, whose sum is σ = 180906066432. Its totient is φ = 12697731072.

The previous prime is 49507540967. The next prime is 49507541003. The reversal of 49507540992 is 29904570594.

49507540992 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 7 + 540 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315334578 + ... + 315334734.

It is an arithmetic number, because the mean of its divisors is an integer number (269205456).

Almost surely, 2^49507540992 is an apocalyptic number.

49507540992 is a gapful number since it is divisible by the number (42) 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 49507540992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90453033216).

49507540992 is an abundant number, since it is smaller than the sum of its proper divisors (131398525440).

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

49507540992 is a wasteful number, since it uses less digits than its factorization.

49507540992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 49507540992 in words is "forty-nine billion, five hundred seven million, five hundred forty thousand, nine hundred ninety-two".