5040153680 has 80 divisors (see below), whose sum is σ = 11995910784. Its totient is φ = 1968852480.

The previous prime is 5040153661. The next prime is 5040153697. The reversal of 5040153680 is 863510405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603614 + ... + 611906.

Almost surely, 2^5040153680 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 5040153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997955392).

5040153680 is an abundant number, since it is smaller than the sum of its proper divisors (6955757104).

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

5040153680 is a wasteful number, since it uses less digits than its factorization.

5040153680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8484 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 5040153680 is about 70994.0397498269. The cubic root of 5040153680 is about 1714.5412027415.

The spelling of 5040153680 in words is "five billion, forty million, one hundred fifty-three thousand, six hundred eighty".