18960896754072 has 896 divisors, whose sum is σ = 68136961052160. Its totient is φ = 4811092070400.

The previous prime is 18960896754067. The next prime is 18960896754077. The reversal of 18960896754072 is 27045769806981.

18960896754072 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 0 + 8 + 9 + 6 + 7 + 540 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (18960896754067) and next prime (18960896754077).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18960896754077) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1528975072 + ... + 1528987472.

It is an arithmetic number, because the mean of its divisors is an integer number (76045715460).

Almost surely, 2^{18960896754072} is an apocalyptic number.

18960896754072 is a gapful number since it is divisible by the number (12) 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 18960896754072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34068480526080).

18960896754072 is an abundant number, since it is smaller than the sum of its proper divisors (49176064298088).

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

18960896754072 is a wasteful number, since it uses less digits than its factorization.

18960896754072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12555 (or 12536 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 18960896754072 in words is "eighteen trillion, nine hundred sixty billion, eight hundred ninety-six million, seven hundred fifty-four thousand, seventy-two".