13775625400 has 96 divisors (see below), whose sum is σ = 33035832000. Its totient is φ = 5338206720.

The previous prime is 13775625397. The next prime is 13775625401. The reversal of 13775625400 is 452657731.

It is a super-2 number, since 2×13775625400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13775625401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764706 + ... + 1772494.

It is an arithmetic number, because the mean of its divisors is an integer number (344123250).

Almost surely, 2^13775625400 is an apocalyptic number.

13775625400 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 13775625400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16517916000).

13775625400 is an abundant number, since it is smaller than the sum of its proper divisors (19260206600).

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

13775625400 is a wasteful number, since it uses less digits than its factorization.

13775625400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8081 (or 8072 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 13775625400 in words is "thirteen billion, seven hundred seventy-five million, six hundred twenty-five thousand, four hundred".