13058288640 has 660 divisors, whose sum is σ = 50183367696. Its totient is φ = 3240787968.

The previous prime is 13058288567. The next prime is 13058288651. The reversal of 13058288640 is 4688285031.

13058288640 is a `hidden beast` number, since 1 + 3 + 0 + 582 + 8 + 8 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 352926702 + ... + 352926738.

Almost surely, 2^13058288640 is an apocalyptic number.

13058288640 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 13058288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25091683848).

13058288640 is an abundant number, since it is smaller than the sum of its proper divisors (37125079056).

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

13058288640 is an equidigital number, since it uses as much as digits as its factorization.

13058288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 13058288640 in words is "thirteen billion, fifty-eight million, two hundred eighty-eight thousand, six hundred forty".