819902601000 has 512 divisors, whose sum is σ = 3353186304000. Its totient is φ = 181359648000.

The previous prime is 819902600963. The next prime is 819902601019. The reversal of 819902601000 is 106209918.

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

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 127 ways as a sum of consecutive naturals, for example, 5789031 + ... + 5928969.

It is an arithmetic number, because the mean of its divisors is an integer number (6549192000).

Almost surely, 2^819902601000 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 819902601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676593152000).

819902601000 is an abundant number, since it is smaller than the sum of its proper divisors (2533283703000).

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

819902601000 is a wasteful number, since it uses less digits than its factorization.

819902601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140007 (or 139987 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 819902601000 in words is "eight hundred nineteen billion, nine hundred two million, six hundred one thousand".