19482071192640 has 672 divisors, whose sum is σ = 81981495558144. Its totient is φ = 4309394503680.

The previous prime is 19482071192587. The next prime is 19482071192641. The reversal of 19482071192640 is 4629117028491.

19482071192640 is a `hidden beast` number, since 1 + 9 + 482 + 0 + 7 + 11 + 92 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (19482071192641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16296637 + ... + 17451203.

It is an arithmetic number, because the mean of its divisors is an integer number (121996273152).

Almost surely, 2^{19482071192640} is an apocalyptic number.

19482071192640 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 19482071192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40990747779072).

19482071192640 is an abundant number, since it is smaller than the sum of its proper divisors (62499424365504).

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

19482071192640 is a wasteful number, since it uses less digits than its factorization.

19482071192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154637 (or 1154615 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 19482071192640 in words is "nineteen trillion, four hundred eighty-two billion, seventy-one million, one hundred ninety-two thousand, six hundred forty".