197127952560 has 480 divisors, whose sum is σ = 861662707200. Its totient is φ = 40961410560.

The previous prime is 197127952547. The next prime is 197127952577. The reversal of 197127952560 is 65259721791.

It is a happy number.

197127952560 is a `hidden beast` number, since 1 + 9 + 7 + 1 + 2 + 79 + 5 + 2 + 560 = 666.

It is a super-2 number, since 2×197127952560² (a number of 23 digits) contains 22 as substring.

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 = 197127952497 and 197127952506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1079581 + ... + 1248899.

It is an arithmetic number, because the mean of its divisors is an integer number (1795130640).

Almost surely, 2^197127952560 is an apocalyptic number.

197127952560 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 197127952560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430831353600).

197127952560 is an abundant number, since it is smaller than the sum of its proper divisors (664534754640).

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

197127952560 is a wasteful number, since it uses less digits than its factorization.

197127952560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169366 (or 169347 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 197127952560 in words is "one hundred ninety-seven billion, one hundred twenty-seven million, nine hundred fifty-two thousand, five hundred sixty".