249127687916640 has 1536 divisors, whose sum is σ = 1025358953472000. Its totient is φ = 55937465450496.

The previous prime is 249127687916509. The next prime is 249127687916651. The reversal of 249127687916640 is 46619786721942.

249127687916640 is a `hidden beast` number, since 2 + 4 + 91 + 276 + 8 + 79 + 166 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11356495752 + ... + 11356517688.

It is an arithmetic number, because the mean of its divisors is an integer number (667551402000).

Almost surely, 2^{249127687916640} is an apocalyptic number.

249127687916640 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 249127687916640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512679476736000).

249127687916640 is an abundant number, since it is smaller than the sum of its proper divisors (776231265555360).

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

249127687916640 is a wasteful number, since it uses less digits than its factorization.

249127687916640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22389 (or 22375 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 249127687916640 in words is "two hundred forty-nine trillion, one hundred twenty-seven billion, six hundred eighty-seven million, nine hundred sixteen thousand, six hundred forty".