18765495141120 has 3456 divisors, whose sum is σ = 89366202132480. Its totient is φ = 3657710960640.

The previous prime is 18765495141101. The next prime is 18765495141199. The reversal of 18765495141120 is 2114159456781.

It is a happy number.

18765495141120 is a `hidden beast` number, since 1 + 8 + 7 + 6 + 5 + 4 + 9 + 514 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 383 ways as a sum of consecutive naturals, for example, 28389553590 + ... + 28389554250.

It is an arithmetic number, because the mean of its divisors is an integer number (25858276080).

Almost surely, 2^{18765495141120} is an apocalyptic number.

18765495141120 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 18765495141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44683101066240).

18765495141120 is an abundant number, since it is smaller than the sum of its proper divisors (70600706991360).

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

18765495141120 is a wasteful number, since it uses less digits than its factorization.

18765495141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 18765495141120 in words is "eighteen trillion, seven hundred sixty-five billion, four hundred ninety-five million, one hundred forty-one thousand, one hundred twenty".