253656023040 has 1200 divisors, whose sum is σ = 1071830065152. Its totient is φ = 56184274944.

The previous prime is 253656023017. The next prime is 253656023069. The reversal of 253656023040 is 40320656352.

253656023040 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 5 + 602 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253656022986 and 253656023004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1997291457 + ... + 1997291583.

Almost surely, 2^253656023040 is an apocalyptic number.

253656023040 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 253656023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535915032576).

253656023040 is an abundant number, since it is smaller than the sum of its proper divisors (818174042112).

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

253656023040 is an equidigital number, since it uses as much as digits as its factorization.

253656023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 253656023040 its reverse (40320656352), we get a palindrome (293976679392).

The spelling of 253656023040 in words is "two hundred fifty-three billion, six hundred fifty-six million, twenty-three thousand, forty".