19402114591872 has 320 divisors, whose sum is σ = 62422054411200. Its totient is φ = 5961387165696.

The previous prime is 19402114591859. The next prime is 19402114591889. The reversal of 19402114591872 is 27819541120491.

19402114591872 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 2 + 1 + 1 + 459 + 187 + 2 = 666.

It is a super-2 number, since 2×19402114591872² (a number of 27 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 5957733 + ... + 8619675.

It is an arithmetic number, because the mean of its divisors is an integer number (195068920035).

Almost surely, 2^{19402114591872} is an apocalyptic number.

19402114591872 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 19402114591872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31211027205600).

19402114591872 is an abundant number, since it is smaller than the sum of its proper divisors (43019939819328).

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

19402114591872 is a wasteful number, since it uses less digits than its factorization.

19402114591872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662025 (or 2662004 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 19402114591872 in words is "nineteen trillion, four hundred two billion, one hundred fourteen million, five hundred ninety-one thousand, eight hundred seventy-two".