15042874000 has 640 divisors, whose sum is σ = 49203707904. Its totient is φ = 4308480000.

The previous prime is 15042873961. The next prime is 15042874013. The reversal of 15042874000 is 47824051.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109801932 + ... + 109802068.

Almost surely, 2^15042874000 is an apocalyptic number.

15042874000 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 15042874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24601853952).

15042874000 is an abundant number, since it is smaller than the sum of its proper divisors (34160833904).

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

15042874000 is a wasteful number, since it uses less digits than its factorization.

15042874000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 15042874000 in words is "fifteen billion, forty-two million, eight hundred seventy-four thousand".