13552552400 has 90 divisors (see below), whose sum is σ = 33465143250. Its totient is φ = 5274293760.

The previous prime is 13552552399. The next prime is 13552552411. The reversal of 13552552400 is 425525531.

13552552400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 826907536 + 12725644864 = 28756^2 + 112808^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 535226 + ... + 559974.

It is an arithmetic number, because the mean of its divisors is an integer number (371834925).

Almost surely, 2^13552552400 is an apocalyptic number.

13552552400 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 13552552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16732571625).

13552552400 is an abundant number, since it is smaller than the sum of its proper divisors (19912590850).

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

13552552400 is a wasteful number, since it uses less digits than its factorization.

13552552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24841 (or 24793 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The spelling of 13552552400 in words is "thirteen billion, five hundred fifty-two million, five hundred fifty-two thousand, four hundred".