6153540080688 has 480 divisors, whose sum is σ = 23130316564992. Its totient is φ = 1474868736000.

The previous prime is 6153540080617. The next prime is 6153540080693. The reversal of 6153540080688 is 8860800453516.

6153540080688 is a `hidden beast` number, since 6 + 1 + 535 + 40 + 0 + 8 + 0 + 68 + 8 = 666.

It is a Cunningham number, because it is equal to 2480633²-1.

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, 580462588 + ... + 580473188.

Almost surely, 2^{6153540080688} 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 6153540080688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11565158282496).

6153540080688 is an abundant number, since it is smaller than the sum of its proper divisors (16976776484304).

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

6153540080688 is a wasteful number, since it uses less digits than its factorization.

6153540080688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14673 (or 14664 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 6153540080688 in words is "six trillion, one hundred fifty-three billion, five hundred forty million, eighty thousand, six hundred eighty-eight".