268741525820400 has 480 divisors, whose sum is σ = 991086557472000. Its totient is φ = 69120506557440.

The previous prime is 268741525820363. The next prime is 268741525820413. The reversal of 268741525820400 is 4028525147862.

268741525820400 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 4 + 1 + 52 + 582 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29792791 + ... + 37750409.

It is an arithmetic number, because the mean of its divisors is an integer number (2064763661400).

Almost surely, 2^{268741525820400} is an apocalyptic number.

268741525820400 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 268741525820400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495543278736000).

268741525820400 is an abundant number, since it is smaller than the sum of its proper divisors (722345031651600).

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

268741525820400 is a wasteful number, since it uses less digits than its factorization.

268741525820400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7957758 (or 7957741 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 268741525820400 in words is "two hundred sixty-eight trillion, seven hundred forty-one billion, five hundred twenty-five million, eight hundred twenty thousand, four hundred".