13825402920 has 192 divisors, whose sum is σ = 53608910400. Its totient is φ = 3160080000.

The previous prime is 13825402901. The next prime is 13825402933. The reversal of 13825402920 is 2920452831.

It is a happy number.

13825402920 is a `hidden beast` number, since 13 + 82 + 540 + 2 + 9 + 20 = 666.

It is a super-2 number, since 2×13825402920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 77706 + ... + 183545.

It is an arithmetic number, because the mean of its divisors is an integer number (279213075).

Almost surely, 2^13825402920 is an apocalyptic number.

13825402920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13825402920 is an abundant number, since it is smaller than the sum of its proper divisors (39783507480).

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

13825402920 is a wasteful number, since it uses less digits than its factorization.

13825402920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261285 (or 261268 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13825402920 in words is "thirteen billion, eight hundred twenty-five million, four hundred two thousand, nine hundred twenty".