15006045400 has 96 divisors (see below), whose sum is σ = 35756305200. Its totient is φ = 5853657600.

The previous prime is 15006045371. The next prime is 15006045451. The reversal of 15006045400 is 454060051.

It is a super-2 number, since 2×15006045400² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8779746 + ... + 8781454.

Almost surely, 2^15006045400 is an apocalyptic number.

15006045400 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 15006045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17878152600).

15006045400 is an abundant number, since it is smaller than the sum of its proper divisors (20750259800).

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

15006045400 is a wasteful number, since it uses less digits than its factorization.

15006045400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 15006045400 in words is "fifteen billion, six million, forty-five thousand, four hundred".