13024987920 has 1200 divisors, whose sum is σ = 59113359360. Its totient is φ = 2633637888.

The previous prime is 13024987907. The next prime is 13024987933. The reversal of 13024987920 is 2978942031.

13024987920 is a `hidden beast` number, since 130 + 2 + 498 + 7 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (13024987907) and next prime (13024987933).

It is a super-2 number, since 2×13024987920² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 239 ways as a sum of consecutive naturals, for example, 102558897 + ... + 102559023.

Almost surely, 2^13024987920 is an apocalyptic number.

13024987920 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 13024987920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29556679680).

13024987920 is an abundant number, since it is smaller than the sum of its proper divisors (46088371440).

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

13024987920 is a wasteful number, since it uses less digits than its factorization.

13024987920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13024987920 in words is "thirteen billion, twenty-four million, nine hundred eighty-seven thousand, nine hundred twenty".