268653403200 has 672 divisors, whose sum is σ = 1141939133440. Its totient is φ = 53697945600.

The previous prime is 268653403177. The next prime is 268653403217. The reversal of 268653403200 is 2304356862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 8283015 + ... + 8315385.

Almost surely, 2^268653403200 is an apocalyptic number.

268653403200 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 268653403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570969566720).

268653403200 is an abundant number, since it is smaller than the sum of its proper divisors (873285730240).

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

268653403200 is a wasteful number, since it uses less digits than its factorization.

268653403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32435 (or 32420 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 268653403200 in words is "two hundred sixty-eight billion, six hundred fifty-three million, four hundred three thousand, two hundred".