253906581277440 has 4608 divisors, whose sum is σ = 1224739160064000. Its totient is φ = 48279682547712.

The previous prime is 253906581277357. The next prime is 253906581277441. The reversal of 253906581277440 is 44772185609352.

It is a happy number.

253906581277440 is a `hidden beast` number, since 2 + 5 + 3 + 9 + 0 + 6 + 581 + 2 + 7 + 7 + 4 + 40 = 666.

253906581277440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (253906581277441) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 328469056894 + ... + 328469057666.

It is an arithmetic number, because the mean of its divisors is an integer number (265785408000).

It is a 1-persistent number, because it is pandigital, but 2⋅253906581277440 = 507813162554880 is not.

Almost surely, 2^{253906581277440} is an apocalyptic number.

253906581277440 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 253906581277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612369580032000).

253906581277440 is an abundant number, since it is smaller than the sum of its proper divisors (970832578786560).

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

253906581277440 is a wasteful number, since it uses less digits than its factorization.

253906581277440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 253906581277440 in words is "two hundred fifty-three trillion, nine hundred six billion, five hundred eighty-one million, two hundred seventy-seven thousand, four hundred forty".