10679040000 has 600 divisors, whose sum is σ = 40246085880. Its totient is φ = 2820096000.

The previous prime is 10679039977. The next prime is 10679040017. The reversal of 10679040000 is 4097601.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×10679040000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 103679949 + ... + 103680051.

Almost surely, 2^10679040000 is an apocalyptic number.

10679040000 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 10679040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20123042940).

10679040000 is an abundant number, since it is smaller than the sum of its proper divisors (29567045880).

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

10679040000 is an frugal number, since it uses more digits than its factorization.

10679040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10679040000 in words is "ten billion, six hundred seventy-nine million, forty thousand".