10804217879400 has 768 divisors, whose sum is σ = 40027380940800. Its totient is φ = 2380105728000.

The previous prime is 10804217879363. The next prime is 10804217879423. The reversal of 10804217879400 is 497871240801.

10804217879400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10804217879400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1610403246 + ... + 1610409954.

It is an arithmetic number, because the mean of its divisors is an integer number (52118985600).

Almost surely, 2^{10804217879400} is an apocalyptic number.

10804217879400 is a gapful number since it is divisible by the number (10) 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 10804217879400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20013690470400).

10804217879400 is an abundant number, since it is smaller than the sum of its proper divisors (29223163061400).

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

10804217879400 is a wasteful number, since it uses less digits than its factorization.

10804217879400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7250 (or 7241 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 10804217879400 in words is "ten trillion, eight hundred four billion, two hundred seventeen million, eight hundred seventy-nine thousand, four hundred".