15256863066900 has 288 divisors, whose sum is σ = 54587589726208. Its totient is φ = 3203773171200.

The previous prime is 15256863066869. The next prime is 15256863066919. The reversal of 15256863066900 is 966036865251.

It is a super-3 number, since 3×15256863066900³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4435989 + ... + 7084611.

Almost surely, 2^{15256863066900} is an apocalyptic number.

15256863066900 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 15256863066900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27293794863104).

15256863066900 is an abundant number, since it is smaller than the sum of its proper divisors (39330726659308).

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

15256863066900 is a wasteful number, since it uses less digits than its factorization.

15256863066900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648871 (or 2648864 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 15256863066900 in words is "fifteen trillion, two hundred fifty-six billion, eight hundred sixty-three million, sixty-six thousand, nine hundred".