19902081024 has 576 divisors, whose sum is σ = 70832361600. Its totient is φ = 5462360064.

The previous prime is 19902080981. The next prime is 19902081041. The reversal of 19902081024 is 42018020991.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 19902081024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101025694 + ... + 101025890.

It is an arithmetic number, because the mean of its divisors is an integer number (122972850).

Almost surely, 2^19902081024 is an apocalyptic number.

19902081024 is a gapful number since it is divisible by the number (14) 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 19902081024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35416180800).

19902081024 is an abundant number, since it is smaller than the sum of its proper divisors (50930280576).

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

19902081024 is an equidigital number, since it uses as much as digits as its factorization.

19902081024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 19902081024 in words is "nineteen billion, nine hundred two million, eighty-one thousand, twenty-four".