10679516735040 has 2016 divisors, whose sum is σ = 42494362560000. Its totient is φ = 2450723143680.

The previous prime is 10679516735023. The next prime is 10679516735101. The reversal of 10679516735040 is 4053761597601.

10679516735040 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 9 + 516 + 73 + 50 + 4 + 0 = 666.

It is a super-2 number, since 2×10679516735040² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 71674608886 + ... + 71674609034.

Almost surely, 2^{10679516735040} is an apocalyptic number.

10679516735040 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 10679516735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21247181280000).

10679516735040 is an abundant number, since it is smaller than the sum of its proper divisors (31814845824960).

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

10679516735040 is a wasteful number, since it uses less digits than its factorization.

10679516735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 10679516735040 in words is "ten trillion, six hundred seventy-nine billion, five hundred sixteen million, seven hundred thirty-five thousand, forty".