19901139350400 has 2304 divisors, whose sum is σ = 92134528012800. Its totient is φ = 4120856985600.

The previous prime is 19901139350383. The next prime is 19901139350459. The reversal of 19901139350400 is 405393110991.

19901139350400 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 1 + 139 + 3 + 504 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 30476476474 + ... + 30476477126.

It is an arithmetic number, because the mean of its divisors is an integer number (39988944450).

Almost surely, 2^{19901139350400} is an apocalyptic number.

19901139350400 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 19901139350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46067264006400).

19901139350400 is an abundant number, since it is smaller than the sum of its proper divisors (72233388662400).

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

19901139350400 is a wasteful number, since it uses less digits than its factorization.

19901139350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 19901139350400 in words is "nineteen trillion, nine hundred one billion, one hundred thirty-nine million, three hundred fifty thousand, four hundred".