253075005332640 has 1152 divisors, whose sum is σ = 917763233587200. Its totient is φ = 63419300904960.

The previous prime is 253075005332549. The next prime is 253075005332657. The reversal of 253075005332640 is 46233500570352.

253075005332640 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 7 + 50 + 0 + 533 + 2 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61831174434 + ... + 61831178526.

It is an arithmetic number, because the mean of its divisors is an integer number (796669473600).

Almost surely, 2^{253075005332640} is an apocalyptic number.

253075005332640 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 253075005332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458881616793600).

253075005332640 is an abundant number, since it is smaller than the sum of its proper divisors (664688228254560).

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

253075005332640 is a wasteful number, since it uses less digits than its factorization.

253075005332640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 253075005332640 in words is "two hundred fifty-three trillion, seventy-five billion, five million, three hundred thirty-two thousand, six hundred forty".