97967268000 has 1728 divisors, whose sum is σ = 442778918400. Its totient is φ = 20379340800.

The previous prime is 97967267987. The next prime is 97967268011. The reversal of 97967268000 is 86276979.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1240091961 + ... + 1240092039.

It is an arithmetic number, because the mean of its divisors is an integer number (256237800).

Almost surely, 2^97967268000 is an apocalyptic number.

97967268000 is a gapful number since it is divisible by the number (90) 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 97967268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221389459200).

97967268000 is an abundant number, since it is smaller than the sum of its proper divisors (344811650400).

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

97967268000 is a wasteful number, since it uses less digits than its factorization.

97967268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 97967268000 in words is "ninety-seven billion, nine hundred sixty-seven million, two hundred sixty-eight thousand".