196164590469120 has 2560 divisors, whose sum is σ = 873067629772800. Its totient is φ = 41030573359104.

The previous prime is 196164590469109. The next prime is 196164590469121. The reversal of 196164590469120 is 21964095461691.

196164590469120 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 6 + 45 + 9 + 0 + 469 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196164590469121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 153373408641 + ... + 153373409919.

It is an arithmetic number, because the mean of its divisors is an integer number (341042042880).

Almost surely, 2^{196164590469120} is an apocalyptic number.

196164590469120 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 196164590469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436533814886400).

196164590469120 is an abundant number, since it is smaller than the sum of its proper divisors (676903039303680).

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

196164590469120 is a wasteful number, since it uses less digits than its factorization.

196164590469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 196164590469120 in words is "one hundred ninety-six trillion, one hundred sixty-four billion, five hundred ninety million, four hundred sixty-nine thousand, one hundred twenty".