10399998540672 has 896 divisors, whose sum is σ = 34792006828320. Its totient is φ = 3074369126400.

The previous prime is 10399998540637. The next prime is 10399998540721. The reversal of 10399998540672 is 27604589999301.

10399998540672 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 9 + 9 + 9 + 8 + 540 + 6 + 72 = 666.

It is a super-3 number, since 3×10399998540672³ (a number of 40 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10399998540672.

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 111 ways as a sum of consecutive naturals, for example, 3332263272 + ... + 3332266392.

It is a 1-persistent number, because it is pandigital, but 2⋅10399998540672 = 20799997081344 is not.

Almost surely, 2^{10399998540672} is an apocalyptic number.

10399998540672 is a gapful number since it is divisible by the number (12) 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 10399998540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17396003414160).

10399998540672 is an abundant number, since it is smaller than the sum of its proper divisors (24392008287648).

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

10399998540672 is an equidigital number, since it uses as much as digits as its factorization.

10399998540672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 10399998540672 in words is "ten trillion, three hundred ninety-nine billion, nine hundred ninety-eight million, five hundred forty thousand, six hundred seventy-two".