13550502400 has 120 divisors (see below), whose sum is σ = 33639247620. Its totient is φ = 5409423360.

The previous prime is 13550502389. The next prime is 13550502467. The reversal of 13550502400 is 420505531.

It can be written as a sum of positive squares in 6 ways, for example, as 6448732416 + 7101769984 = 80304^2 + 84272^2 .

It is a super-2 number, since 2×13550502400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10610562 + ... + 10611838.

Almost surely, 2^13550502400 is an apocalyptic number.

13550502400 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 13550502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16819623810).

13550502400 is an abundant number, since it is smaller than the sum of its proper divisors (20088745220).

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

13550502400 is an equidigital number, since it uses as much as digits as its factorization.

13550502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 13550502400 in words is "thirteen billion, five hundred fifty million, five hundred two thousand, four hundred".