13770825120 has 384 divisors, whose sum is σ = 52632115200. Its totient is φ = 3342311424.

The previous prime is 13770825119. The next prime is 13770825169. The reversal of 13770825120 is 2152807731.

13770825120 is a `hidden beast` number, since 137 + 7 + 0 + 8 + 2 + 512 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 4098001 + ... + 4101359.

It is an arithmetic number, because the mean of its divisors is an integer number (137062800).

Almost surely, 2^13770825120 is an apocalyptic number.

13770825120 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 13770825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26316057600).

13770825120 is an abundant number, since it is smaller than the sum of its proper divisors (38861290080).

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

13770825120 is a wasteful number, since it uses less digits than its factorization.

13770825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 13770825120 in words is "thirteen billion, seven hundred seventy million, eight hundred twenty-five thousand, one hundred twenty".