15284424820900 has 27 divisors (see below), whose sum is σ = 33167286698371. Its totient is φ = 6113754290240.

The previous prime is 15284424820831. The next prime is 15284424820957. The reversal of 15284424820900 is 902842448251.

The square root of 15284424820900 is 3909530.

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 984591814756 + 14299833006144 = 992266^2 + 3781512^2 .

It is a super-2 number, since 2×15284424820900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 38899824 + ... + 39290776.

Almost surely, 2^{15284424820900} is an apocalyptic number.

15284424820900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15284424820900 is the 3909530-th square number.

It is an amenable number.

15284424820900 is an abundant number, since it is smaller than the sum of its proper divisors (17882861877471).

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

15284424820900 is an frugal number, since it uses more digits than its factorization.

15284424820900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781920 (or 390960 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

Multiplying 15284424820900 by its sum of digits (49), we get a square (748936816224100 = 27366710²).

The spelling of 15284424820900 in words is "fifteen trillion, two hundred eighty-four billion, four hundred twenty-four million, eight hundred twenty thousand, nine hundred".