197157058560 has 1680 divisors, whose sum is σ = 902650596120. Its totient is φ = 40967700480.

The previous prime is 197157058559. The next prime is 197157058573. The reversal of 197157058560 is 65850751791.

It is a happy number.

197157058560 is a `hidden beast` number, since 1 + 9 + 7 + 1 + 5 + 70 + 5 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 197157058497 and 197157058506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 17923368955 + ... + 17923368965.

Almost surely, 2^197157058560 is an apocalyptic number.

197157058560 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 197157058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451325298060).

197157058560 is an abundant number, since it is smaller than the sum of its proper divisors (705493537560).

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

197157058560 is an frugal number, since it uses more digits than its factorization.

197157058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 54.

The spelling of 197157058560 in words is "one hundred ninety-seven billion, one hundred fifty-seven million, fifty-eight thousand, five hundred sixty".