10553405400 has 144 divisors (see below), whose sum is σ = 35550935160. Its totient is φ = 2805580800.

The previous prime is 10553405377. The next prime is 10553405431. The reversal of 10553405400 is 450435501.

It is a super-2 number, since 2×10553405400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 586944 + ... + 604656.

Almost surely, 2^10553405400 is an apocalyptic number.

10553405400 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 10553405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17775467580).

10553405400 is an abundant number, since it is smaller than the sum of its proper divisors (24997529760).

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

10553405400 is a wasteful number, since it uses less digits than its factorization.

10553405400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18066 (or 18054 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 10553405400 in words is "ten billion, five hundred fifty-three million, four hundred five thousand, four hundred".