19802071296 has 270 divisors, whose sum is σ = 68689912830. Its totient is φ = 5657444352.

The previous prime is 19802071279. The next prime is 19802071313. The reversal of 19802071296 is 69217020891.

It is an interprime number because it is at equal distance from previous prime (19802071279) and next prime (19802071313).

It can be written as a sum of positive squares in only one way, i.e., 11202105600 + 8599965696 = 105840^2 + 92736^2 .

It is a super-2 number, since 2×19802071296² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1006320 + ... + 1025808.

Almost surely, 2^19802071296 is an apocalyptic number.

19802071296 is a gapful number since it is divisible by the number (16) 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 19802071296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34344956415).

19802071296 is an abundant number, since it is smaller than the sum of its proper divisors (48887841534).

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

19802071296 is an equidigital number, since it uses as much as digits as its factorization.

19802071296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19531 (or 19501 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 19802071296 in words is "nineteen billion, eight hundred two million, seventy-one thousand, two hundred ninety-six".