19901306880 has 1152 divisors, whose sum is σ = 89407281600. Its totient is φ = 4161798144.

The previous prime is 19901306879. The next prime is 19901306881. The reversal of 19901306880 is 8860310991.

It is an interprime number because it is at equal distance from previous prime (19901306879) and next prime (19901306881).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19901306881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176117704 + ... + 176117816.

Almost surely, 2^19901306880 is an apocalyptic number.

19901306880 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 19901306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44703640800).

19901306880 is an abundant number, since it is smaller than the sum of its proper divisors (69505974720).

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

19901306880 is a wasteful number, since it uses less digits than its factorization.

19901306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 19901306880 in words is "nineteen billion, nine hundred one million, three hundred six thousand, eight hundred eighty".