253437750720 has 1120 divisors, whose sum is σ = 1173057278976. Its totient is φ = 50363596800.

The previous prime is 253437750719. The next prime is 253437750763. The reversal of 253437750720 is 27057734352.

It is a happy number.

253437750720 is a `hidden beast` number, since 2 + 53 + 4 + 3 + 77 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45901560 + ... + 45907080.

Almost surely, 2^253437750720 is an apocalyptic number.

253437750720 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 253437750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586528639488).

253437750720 is an abundant number, since it is smaller than the sum of its proper divisors (919619528256).

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

253437750720 is a wasteful number, since it uses less digits than its factorization.

253437750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 45.

The spelling of 253437750720 in words is "two hundred fifty-three billion, four hundred thirty-seven million, seven hundred fifty thousand, seven hundred twenty".