197857520640 has 792 divisors, whose sum is σ = 770677126128. Its totient is φ = 48651632640.

The previous prime is 197857520621. The next prime is 197857520647. The reversal of 197857520640 is 46025758791.

197857520640 is a `hidden beast` number, since 1 + 9 + 7 + 8 + 57 + 520 + 64 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (197857520647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210262570 + ... + 210263510.

Almost surely, 2^197857520640 is an apocalyptic number.

197857520640 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 197857520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385338563064).

197857520640 is an abundant number, since it is smaller than the sum of its proper divisors (572819605488).

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

197857520640 is an equidigital number, since it uses as much as digits as its factorization.

197857520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 197857520640 in words is "one hundred ninety-seven billion, eight hundred fifty-seven million, five hundred twenty thousand, six hundred forty".