197395615872000 has 7040 divisors, whose sum is σ = 992090725097472. Its totient is φ = 37838389248000.

The previous prime is 197395615871981. The next prime is 197395615872041. The reversal of 197395615872000 is 278516593791.

197395615872000 is a `hidden beast` number, since 1 + 9 + 7 + 3 + 9 + 5 + 615 + 8 + 7 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 497218175802 + ... + 497218176198.

Almost surely, 2^{197395615872000} is an apocalyptic number.

197395615872000 is a gapful number since it is divisible by the number (10) 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 197395615872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496045362548736).

197395615872000 is an abundant number, since it is smaller than the sum of its proper divisors (794695109225472).

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

197395615872000 is a wasteful number, since it uses less digits than its factorization.

197395615872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 197395615872000 in words is "one hundred ninety-seven trillion, three hundred ninety-five billion, six hundred fifteen million, eight hundred seventy-two thousand".