12553191400 has 96 divisors (see below), whose sum is σ = 30074247000. Its totient is φ = 4869939200.

The previous prime is 12553191389. The next prime is 12553191407. The reversal of 12553191400 is 419135521.

It can be written as a sum of positive squares in 12 ways, for example, as 323928004 + 12229263396 = 17998^2 + 110586^2 .

It is a super-2 number, since 2×12553191400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12553191407) 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, 1414176 + ... + 1423024.

Almost surely, 2^12553191400 is an apocalyptic number.

12553191400 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 12553191400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037123500).

12553191400 is an abundant number, since it is smaller than the sum of its proper divisors (17521055600).

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

12553191400 is a wasteful number, since it uses less digits than its factorization.

12553191400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9079 (or 9070 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 12553191400 in words is "twelve billion, five hundred fifty-three million, one hundred ninety-one thousand, four hundred".