10672385498775 has 144 divisors (see below), whose sum is σ = 25665470638080. Its totient is φ = 4094101843200.

The previous prime is 10672385498737. The next prime is 10672385498821. The reversal of 10672385498775 is 57789458327601.

10672385498775 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 2 + 3 + 8 + 549 + 8 + 7 + 75 = 666.

It is not a de Polignac number, because 10672385498775 - 2⁹ = 10672385498263 is a prime.

It is a super-2 number, since 2×10672385498775² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23467495 + ... + 23917944.

It is a 1-persistent number, because it is pandigital, but 2⋅10672385498775 = 21344770997550 is not.

Almost surely, 2^{10672385498775} is an apocalyptic number.

10672385498775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10672385498775 is an abundant number, since it is smaller than the sum of its proper divisors (14993085139305).

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

10672385498775 is a wasteful number, since it uses less digits than its factorization.

10672385498775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47385486 (or 47385478 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 10672385498775 in words is "ten trillion, six hundred seventy-two billion, three hundred eighty-five million, four hundred ninety-eight thousand, seven hundred seventy-five".