253746213840 has 640 divisors, whose sum is σ = 1063646208000. Its totient is φ = 55473707520.

The previous prime is 253746213803. The next prime is 253746213871. The reversal of 253746213840 is 48312647352.

253746213840 is a `hidden beast` number, since 2 + 53 + 7 + 462 + 138 + 4 + 0 = 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17032795 + ... + 17047685.

It is an arithmetic number, because the mean of its divisors is an integer number (1661947200).

Almost surely, 2^253746213840 is an apocalyptic number.

253746213840 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 253746213840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531823104000).

253746213840 is an abundant number, since it is smaller than the sum of its proper divisors (809899994160).

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

253746213840 is a wasteful number, since it uses less digits than its factorization.

253746213840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14957 (or 14931 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 253746213840 in words is "two hundred fifty-three billion, seven hundred forty-six million, two hundred thirteen thousand, eight hundred forty".