10499828613120 has 1728 divisors, whose sum is σ = 46246555031040. Its totient is φ = 2140353331200.

The previous prime is 10499828613101. The next prime is 10499828613137. The reversal of 10499828613120 is 2131682899401.

It is a happy number.

10499828613120 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 9 + 8 + 2 + 8 + 613 + 12 + 0 = 666.

It is a super-2 number, since 2×10499828613120² (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 95 ways as a sum of consecutive naturals, for example, 27704033091 + ... + 27704033469.

It is an arithmetic number, because the mean of its divisors is an integer number (26763052680).

Almost surely, 2^{10499828613120} is an apocalyptic number.

10499828613120 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 10499828613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23123277515520).

10499828613120 is an abundant number, since it is smaller than the sum of its proper divisors (35746726417920).

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

10499828613120 is an equidigital number, since it uses as much as digits as its factorization.

10499828613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 10499828613120 in words is "ten trillion, four hundred ninety-nine billion, eight hundred twenty-eight million, six hundred thirteen thousand, one hundred twenty".