15205440400000 has 192 divisors, whose sum is σ = 38786209008120. Its totient is φ = 5933824000000.

The previous prime is 15205440399983. The next prime is 15205440400021. The reversal of 15205440400000 is 404450251.

It is a happy number.

15205440400000 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 12 ways, for example, as 7163588014144 + 8041852385856 = 2676488^2 + 2835816^2 .

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 23 ways as a sum of consecutive naturals, for example, 15936420 + ... + 16863580.

Almost surely, 2^{15205440400000} is an apocalyptic number.

15205440400000 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 15205440400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393104504060).

15205440400000 is an abundant number, since it is smaller than the sum of its proper divisors (23580768608120).

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

15205440400000 is an frugal number, since it uses more digits than its factorization.

15205440400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927241 (or 927209 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 15205440400000 its reverse (404450251), we get a palindrome (15205844850251).

The spelling of 15205440400000 in words is "fifteen trillion, two hundred five billion, four hundred forty million, four hundred thousand".