861902496000 has 864 divisors, whose sum is σ = 3817194920448. Its totient is φ = 181846425600.

The previous prime is 861902495969. The next prime is 861902496001. The reversal of 861902496000 is 694209168.

It is a happy number.

861902496000 is a `hidden beast` number, since 8 + 6 + 19 + 0 + 24 + 9 + 600 + 0 = 666.

It is a super-2 number, since 2×861902496000² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (861902496001) 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, 26191557 + ... + 26224443.

Almost surely, 2^861902496000 is an apocalyptic number.

861902496000 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 861902496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908597460224).

861902496000 is an abundant number, since it is smaller than the sum of its proper divisors (2955292424448).

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

861902496000 is a wasteful number, since it uses less digits than its factorization.

861902496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32944 (or 32917 counting only the distinct ones).

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

The spelling of 861902496000 in words is "eight hundred sixty-one billion, nine hundred two million, four hundred ninety-six thousand".