171896100480 has 1152 divisors, whose sum is σ = 688032334080. Its totient is φ = 40794513408.

The previous prime is 171896100479. The next prime is 171896100487. The reversal of 171896100480 is 84001698171.

It is a happy number.

171896100480 is a `hidden beast` number, since 1 + 71 + 8 + 96 + 10 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (171896100487) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2565613407 + ... + 2565613473.

It is an arithmetic number, because the mean of its divisors is an integer number (597250290).

Almost surely, 2^171896100480 is an apocalyptic number.

171896100480 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 171896100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344016167040).

171896100480 is an abundant number, since it is smaller than the sum of its proper divisors (516136233600).

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

171896100480 is an frugal number, since it uses more digits than its factorization.

171896100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 171896100480 in words is "one hundred seventy-one billion, eight hundred ninety-six million, one hundred thousand, four hundred eighty".