11512798658640 has 320 divisors, whose sum is σ = 40315698558720. Its totient is φ = 3018969999360.

The previous prime is 11512798658639. The next prime is 11512798658693. The reversal of 11512798658640 is 4685689721511.

11512798658640 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 2 + 7 + 9 + 8 + 6 + 586 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 653125507 + ... + 653143133.

It is an arithmetic number, because the mean of its divisors is an integer number (125986557996).

Almost surely, 2^{11512798658640} is an apocalyptic number.

11512798658640 is a gapful number since it is divisible by the number (10) 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 11512798658640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20157849279360).

11512798658640 is an abundant number, since it is smaller than the sum of its proper divisors (28802899900080).

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

11512798658640 is a wasteful number, since it uses less digits than its factorization.

11512798658640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22667 (or 22655 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 11512798658640 in words is "eleven trillion, five hundred twelve billion, seven hundred ninety-eight million, six hundred fifty-eight thousand, six hundred forty".