268100800082752 has 224 divisors, whose sum is σ = 703313275616000. Its totient is φ = 100479650052096.

The previous prime is 268100800082741. The next prime is 268100800082849. The reversal of 268100800082752 is 257280008001862.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 268100800082696 and 268100800082705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19300623 + ... + 30144910.

It is an arithmetic number, because the mean of its divisors is an integer number (3139791409000).

Almost surely, 2^{268100800082752} is an apocalyptic number.

It is an amenable number.

268100800082752 is an abundant number, since it is smaller than the sum of its proper divisors (435212475533248).

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

268100800082752 is a wasteful number, since it uses less digits than its factorization.

268100800082752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49445598 (or 49445574 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 49.

The spelling of 268100800082752 in words is "two hundred sixty-eight trillion, one hundred billion, eight hundred million, eighty-two thousand, seven hundred fifty-two".