10499157826560 has 2112 divisors, whose sum is σ = 42185227109760. Its totient is φ = 2473297182720.

The previous prime is 10499157826541. The next prime is 10499157826603. The reversal of 10499157826560 is 6562875199401.

10499157826560 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 9 + 1 + 578 + 2 + 6 + 56 + 0 = 666.

It is a super-2 number, since 2×10499157826560² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 92912901064 + ... + 92912901176.

Almost surely, 2^{10499157826560} is an apocalyptic number.

10499157826560 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 10499157826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092613554880).

10499157826560 is an abundant number, since it is smaller than the sum of its proper divisors (31686069283200).

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

10499157826560 is a wasteful number, since it uses less digits than its factorization.

10499157826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 10499157826560 in words is "ten trillion, four hundred ninety-nine billion, one hundred fifty-seven million, eight hundred twenty-six thousand, five hundred sixty".