13700942528 has 336 divisors, whose sum is σ = 36231600384. Its totient is φ = 5086126080.

The previous prime is 13700942513. The next prime is 13700942531. The reversal of 13700942528 is 82524900731.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46760750 + ... + 46761042.

It is an arithmetic number, because the mean of its divisors is an integer number (107832144).

Almost surely, 2^13700942528 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 13700942528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18115800192).

13700942528 is an abundant number, since it is smaller than the sum of its proper divisors (22530657856).

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

13700942528 is a wasteful number, since it uses less digits than its factorization.

13700942528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 13700942528 in words is "thirteen billion, seven hundred million, nine hundred forty-two thousand, five hundred twenty-eight".