253937903040 has 560 divisors, whose sum is σ = 918243406080. Its totient is φ = 66607349760.

The previous prime is 253937902931. The next prime is 253937903041. The reversal of 253937903040 is 40309739352.

253937903040 is a `hidden beast` number, since 2 + 539 + 3 + 79 + 0 + 3 + 0 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253937903041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 530141521 + ... + 530141999.

It is an arithmetic number, because the mean of its divisors is an integer number (1639720368).

Almost surely, 2^253937903040 is an apocalyptic number.

253937903040 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 253937903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459121703040).

253937903040 is an abundant number, since it is smaller than the sum of its proper divisors (664305503040).

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

253937903040 is a wasteful number, since it uses less digits than its factorization.

253937903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 253937903040 in words is "two hundred fifty-three billion, nine hundred thirty-seven million, nine hundred three thousand, forty".