15500205220900 has 81 divisors (see below), whose sum is σ = 35731929456979. Its totient is φ = 5835119407360.

The previous prime is 15500205220879. The next prime is 15500205221027. The reversal of 15500205220900 is 902250200551.

The square root of 15500205220900 is 3937030.

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

It can be written as a sum of positive squares in 4 ways, for example, as 362565353956 + 15137639866944 = 602134^2 + 3890712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 669283521 + ... + 669306679.

Almost surely, 2^{15500205220900} is an apocalyptic number.

15500205220900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15500205220900 is the 3937030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15500205220900

15500205220900 is an abundant number, since it is smaller than the sum of its proper divisors (20231724236079).

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

15500205220900 is an frugal number, since it uses more digits than its factorization.

15500205220900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46366 (or 23183 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 15500205220900 in words is "fifteen trillion, five hundred billion, two hundred five million, two hundred twenty thousand, nine hundred".