10499137699680 has 2304 divisors, whose sum is σ = 46941460070400. Its totient is φ = 2176827125760.

The previous prime is 10499137699639. The next prime is 10499137699733. The reversal of 10499137699680 is 8699673199401.

It is a happy number.

10499137699680 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 91 + 376 + 9 + 96 + 80 = 666.

It is a super-2 number, since 2×10499137699680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10499137699599 and 10499137699608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13340708247 + ... + 13340709033.

It is an arithmetic number, because the mean of its divisors is an integer number (20373897600).

Almost surely, 2^{10499137699680} is an apocalyptic number.

10499137699680 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 10499137699680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23470730035200).

10499137699680 is an abundant number, since it is smaller than the sum of its proper divisors (36442322370720).

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

10499137699680 is a wasteful number, since it uses less digits than its factorization.

10499137699680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 10499137699680 in words is "ten trillion, four hundred ninety-nine billion, one hundred thirty-seven million, six hundred ninety-nine thousand, six hundred eighty".