18695176980480 has 5760 divisors, whose sum is σ = 95656380019200. Its totient is φ = 3391440814080.

The previous prime is 18695176980451. The next prime is 18695176980521. The reversal of 18695176980480 is 8408967159681.

18695176980480 is a `hidden beast` number, since 1 + 8 + 6 + 9 + 5 + 1 + 7 + 69 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18695176980399 and 18695176980408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 210058168276 + ... + 210058168364.

It is an arithmetic number, because the mean of its divisors is an integer number (16607010420).

Almost surely, 2^{18695176980480} is an apocalyptic number.

18695176980480 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 18695176980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47828190009600).

18695176980480 is an abundant number, since it is smaller than the sum of its proper divisors (76961203038720).

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

18695176980480 is a wasteful number, since it uses less digits than its factorization.

18695176980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 18695176980480 in words is "eighteen trillion, six hundred ninety-five billion, one hundred seventy-six million, nine hundred eighty thousand, four hundred eighty".