1015217515200 has 1008 divisors, whose sum is σ = 4107295092480. Its totient is φ = 218285383680.

The previous prime is 1015217515199. The next prime is 1015217515231. The reversal of 1015217515200 is 25157125101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 701600877 + ... + 701602323.

Almost surely, 2^{1015217515200} is an apocalyptic number.

1015217515200 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 1015217515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053647546240).

1015217515200 is an abundant number, since it is smaller than the sum of its proper divisors (3092077577280).

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

1015217515200 is a wasteful number, since it uses less digits than its factorization.

1015217515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 30.

The spelling of 1015217515200 in words is "one trillion, fifteen billion, two hundred seventeen million, five hundred fifteen thousand, two hundred".