10466653115400 has 384 divisors, whose sum is σ = 33155163648000. Its totient is φ = 2730839132160.

The previous prime is 10466653115371. The next prime is 10466653115437. The reversal of 10466653115400 is 451135666401.

It is a super-2 number, since 2×10466653115400² (a number of 27 digits) contains 22 as substring.

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, 5133227581 + ... + 5133229619.

It is an arithmetic number, because the mean of its divisors is an integer number (86341572000).

Almost surely, 2^{10466653115400} is an apocalyptic number.

10466653115400 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 10466653115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16577581824000).

10466653115400 is an abundant number, since it is smaller than the sum of its proper divisors (22688510532600).

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

10466653115400 is a wasteful number, since it uses less digits than its factorization.

10466653115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 10466653115400 in words is "ten trillion, four hundred sixty-six billion, six hundred fifty-three million, one hundred fifteen thousand, four hundred".