15002820000 has 960 divisors, whose sum is σ = 64554336000. Its totient is φ = 3429216000.

The previous prime is 15002819989. The next prime is 15002820017. The reversal of 15002820000 is 2820051.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3150 × 1890 × 2520.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2143259997 + ... + 2143260003.

It is an arithmetic number, because the mean of its divisors is an integer number (67244100).

Almost surely, 2^15002820000 is an apocalyptic number.

15002820000 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 15002820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32277168000).

15002820000 is an abundant number, since it is smaller than the sum of its proper divisors (49551516000).

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

15002820000 is an frugal number, since it uses more digits than its factorization.

15002820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

It can be divided in two parts, 1500 and 2820000, that added together give a triangular number (2821500 = T₂₃₇₅).

The spelling of 15002820000 in words is "fifteen billion, two million, eight hundred twenty thousand".