18781422151680 has 960 divisors, whose sum is σ = 71386955640000. Its totient is φ = 4709605441536.

The previous prime is 18781422151673. The next prime is 18781422151693. The reversal of 18781422151680 is 8615122418781.

18781422151680 is a `hidden beast` number, since 1 + 8 + 7 + 8 + 1 + 42 + 2 + 1 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2159027971 + ... + 2159036669.

It is an arithmetic number, because the mean of its divisors is an integer number (74361412125).

Almost surely, 2^{18781422151680} is an apocalyptic number.

18781422151680 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 18781422151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35693477820000).

18781422151680 is an abundant number, since it is smaller than the sum of its proper divisors (52605533488320).

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

18781422151680 is a wasteful number, since it uses less digits than its factorization.

18781422151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8894 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 18781422151680 in words is "eighteen trillion, seven hundred eighty-one billion, four hundred twenty-two million, one hundred fifty-one thousand, six hundred eighty".