15045360844800 has 1536 divisors, whose sum is σ = 60375715706880. Its totient is φ = 3255828480000.

The previous prime is 15045360844757. The next prime is 15045360844837. The reversal of 15045360844800 is 844806354051.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 15045360844800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10894540110 + ... + 10894541490.

It is an arithmetic number, because the mean of its divisors is an integer number (39307106580).

Almost surely, 2^{15045360844800} is an apocalyptic number.

15045360844800 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 15045360844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30187857853440).

15045360844800 is an abundant number, since it is smaller than the sum of its proper divisors (45330354862080).

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

15045360844800 is a wasteful number, since it uses less digits than its factorization.

15045360844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 15045360844800 in words is "fifteen trillion, forty-five billion, three hundred sixty million, eight hundred forty-four thousand, eight hundred".