249901666560 has 1440 divisors, whose sum is σ = 1115213594880. Its totient is φ = 52242776064.

The previous prime is 249901666543. The next prime is 249901666579. The reversal of 249901666560 is 65666109942.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 249901666497 and 249901666506.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2292675786 + ... + 2292675894.

Almost surely, 2^249901666560 is an apocalyptic number.

249901666560 is a gapful number since it is divisible by the number (20) 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 249901666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557606797440).

249901666560 is an abundant number, since it is smaller than the sum of its proper divisors (865311928320).

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

249901666560 is an frugal number, since it uses more digits than its factorization.

249901666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 249901666560 in words is "two hundred forty-nine billion, nine hundred one million, six hundred sixty-six thousand, five hundred sixty".