15525160000 has 315 divisors, whose sum is σ = 45291462249. Its totient is φ = 5263104000.

The previous prime is 15525159983. The next prime is 15525160039. The reversal of 15525160000 is 6152551.

The square root of 15525160000 is 124600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 15081804864 + 443355136 = 122808^2 + 21056^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 174439956 + ... + 174440044.

Almost surely, 2^15525160000 is an apocalyptic number.

15525160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15525160000 is the 124600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15525160000

15525160000 is an abundant number, since it is smaller than the sum of its proper divisors (29766302249).

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

15525160000 is an frugal number, since it uses more digits than its factorization.

15525160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Multiplying 15525160000 by its sum of digits (25), we get a square (388129000000 = 623000²).

15525160000 divided by its sum of digits (25) gives a square (621006400 = 24920²).

The spelling of 15525160000 in words is "fifteen billion, five hundred twenty-five million, one hundred sixty thousand".