253769498640 has 480 divisors, whose sum is σ = 1018300896000. Its totient is φ = 57919131648.

The previous prime is 253769498627. The next prime is 253769498687. The reversal of 253769498640 is 46894967352.

253769498640 is a `hidden beast` number, since 2 + 537 + 6 + 9 + 4 + 98 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 97265656 + ... + 97268264.

It is an arithmetic number, because the mean of its divisors is an integer number (2121460200).

Almost surely, 2^253769498640 is an apocalyptic number.

253769498640 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 253769498640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509150448000).

253769498640 is an abundant number, since it is smaller than the sum of its proper divisors (764531397360).

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

253769498640 is a wasteful number, since it uses less digits than its factorization.

253769498640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 253769498640 in words is "two hundred fifty-three billion, seven hundred sixty-nine million, four hundred ninety-eight thousand, six hundred forty".