809961062400 has 1836 divisors, whose sum is σ = 3612998329200. Its totient is φ = 172417351680.

The previous prime is 809961062357. The next prime is 809961062429. The reversal of 809961062400 is 4260169908.

It is a happy number.

809961062400 is a `hidden beast` number, since 8 + 0 + 9 + 9 + 6 + 10 + 624 + 0 + 0 = 666.

It is a super-3 number, since 3×809961062400³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13728153571 + ... + 13728153629.

Almost surely, 2^809961062400 is an apocalyptic number.

809961062400 is a gapful number since it is divisible by the number (80) 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 809961062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806499164600).

809961062400 is an abundant number, since it is smaller than the sum of its proper divisors (2803037266800).

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

809961062400 is a wasteful number, since it uses less digits than its factorization.

809961062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 809961062400 in words is "eight hundred nine billion, nine hundred sixty-one million, sixty-two thousand, four hundred".