11667523010 has 192 divisors, whose sum is σ = 26100652032. Its totient is φ = 3725568000.

The previous prime is 11667523001. The next prime is 11667523019. The reversal of 11667523010 is 1032576611.

It is an interprime number because it is at equal distance from previous prime (11667523001) and next prime (11667523019).

It is a super-2 number, since 2×11667523010² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11667523019) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34621562 + ... + 34621898.

It is an arithmetic number, because the mean of its divisors is an integer number (135940896).

Almost surely, 2^11667523010 is an apocalyptic number.

11667523010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11667523010 is an abundant number, since it is smaller than the sum of its proper divisors (14433129022).

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

11667523010 is a wasteful number, since it uses less digits than its factorization.

11667523010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 11667523010 in words is "eleven billion, six hundred sixty-seven million, five hundred twenty-three thousand, ten".