13571648640 has 768 divisors, whose sum is σ = 54533606400. Its totient is φ = 3077775360.

The previous prime is 13571648621. The next prime is 13571648677. The reversal of 13571648640 is 4684617531.

13571648640 is a `hidden beast` number, since 13 + 571 + 6 + 4 + 8 + 64 + 0 = 666.

It is a super-2 number, since 2×13571648640² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 97637691 + ... + 97637829.

It is an arithmetic number, because the mean of its divisors is an integer number (71007300).

Almost surely, 2^13571648640 is an apocalyptic number.

13571648640 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 13571648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27266803200).

13571648640 is an abundant number, since it is smaller than the sum of its proper divisors (40961957760).

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

13571648640 is a wasteful number, since it uses less digits than its factorization.

13571648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13571648640 in words is "thirteen billion, five hundred seventy-one million, six hundred forty-eight thousand, six hundred forty".