861269004000 has 768 divisors, whose sum is σ = 3205594828800. Its totient is φ = 224550144000.

The previous prime is 861269003953. The next prime is 861269004041. The reversal of 861269004000 is 400962168.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1574531727 + ... + 1574532273.

It is an arithmetic number, because the mean of its divisors is an integer number (4173951600).

Almost surely, 2^861269004000 is an apocalyptic number.

861269004000 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 861269004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602797414400).

861269004000 is an abundant number, since it is smaller than the sum of its proper divisors (2344325824800).

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

861269004000 is a wasteful number, since it uses less digits than its factorization.

861269004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 861269004000 its reverse (400962168), we get a palindrome (861669966168).

The spelling of 861269004000 in words is "eight hundred sixty-one billion, two hundred sixty-nine million, four thousand".