268970411008000 has 896 divisors, whose sum is σ = 765067784592384. Its totient is φ = 93648715776000.

The previous prime is 268970411007973. The next prime is 268970411008009. The reversal of 268970411008000 is 800114079862.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (268970411008009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21738489814 + ... + 21738502186.

It is an arithmetic number, because the mean of its divisors is an integer number (853870295304).

Almost surely, 2^{268970411008000} is an apocalyptic number.

268970411008000 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 268970411008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382533892296192).

268970411008000 is an abundant number, since it is smaller than the sum of its proper divisors (496097373584384).

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

268970411008000 is a wasteful number, since it uses less digits than its factorization.

268970411008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12521 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 268970411008000 in words is "two hundred sixty-eight trillion, nine hundred seventy billion, four hundred eleven million, eight thousand".