15042552000 has 896 divisors, whose sum is σ = 62992650240. Its totient is φ = 3081830400.

The previous prime is 15042551999. The next prime is 15042552001. The reversal of 15042552000 is 25524051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (15042551999) and next prime (15042552001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (15042552001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65687886 + ... + 65688114.

Almost surely, 2^15042552000 is an apocalyptic number.

15042552000 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 15042552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31496325120).

15042552000 is an abundant number, since it is smaller than the sum of its proper divisors (47950098240).

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

15042552000 is a wasteful number, since it uses less digits than its factorization.

15042552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 15042552000 in words is "fifteen billion, forty-two million, five hundred fifty-two thousand".