10019901276 has 288 divisors, whose sum is σ = 32643426816. Its totient is φ = 2515968000.

The previous prime is 10019901223. The next prime is 10019901293. The reversal of 10019901276 is 67210991001.

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 10019901276.

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 95 ways as a sum of consecutive naturals, for example, 14888076 + ... + 14888748.

It is an arithmetic number, because the mean of its divisors is an integer number (113345232).

Almost surely, 2^10019901276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10019901276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16321713408).

10019901276 is an abundant number, since it is smaller than the sum of its proper divisors (22623525540).

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

10019901276 is a wasteful number, since it uses less digits than its factorization.

10019901276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 10019901276 in words is "ten billion, nineteen million, nine hundred one thousand, two hundred seventy-six".