13154552400 has 720 divisors, whose sum is σ = 51118496064. Its totient is φ = 2856960000.

The previous prime is 13154552399. The next prime is 13154552429. The reversal of 13154552400 is 425545131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 215648370 + ... + 215648430.

Almost surely, 2^13154552400 is an apocalyptic number.

13154552400 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 13154552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25559248032).

13154552400 is an abundant number, since it is smaller than the sum of its proper divisors (37963943664).

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

13154552400 is a wasteful number, since it uses less digits than its factorization.

13154552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 13154552400 in words is "thirteen billion, one hundred fifty-four million, five hundred fifty-two thousand, four hundred".