13155678400 has 84 divisors (see below), whose sum is σ = 32920091640. Its totient is φ = 5173043200.

The previous prime is 13155678359. The next prime is 13155678401. The reversal of 13155678400 is 487655131.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13155678401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24720 + ... + 164080.

Almost surely, 2^13155678400 is an apocalyptic number.

13155678400 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 13155678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16460045820).

13155678400 is an abundant number, since it is smaller than the sum of its proper divisors (19764413240).

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

13155678400 is a wasteful number, since it uses less digits than its factorization.

13155678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139442 (or 139427 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 13155678400 in words is "thirteen billion, one hundred fifty-five million, six hundred seventy-eight thousand, four hundred".