197132590080 has 880 divisors, whose sum is σ = 752215511520. Its totient is φ = 49272717312.

The previous prime is 197132590027. The next prime is 197132590099. The reversal of 197132590080 is 80095231791.

It is a super-2 number, since 2×197132590080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 444994339 + ... + 444994781.

It is an arithmetic number, because the mean of its divisors is an integer number (854790354).

Almost surely, 2^197132590080 is an apocalyptic number.

197132590080 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 197132590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376107755760).

197132590080 is an abundant number, since it is smaller than the sum of its proper divisors (555082921440).

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

197132590080 is a wasteful number, since it uses less digits than its factorization.

197132590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 197132590080 in words is "one hundred ninety-seven billion, one hundred thirty-two million, five hundred ninety thousand, eighty".