10466135550 has 240 divisors, whose sum is σ = 31567635792. Its totient is φ = 2555712000.

The previous prime is 10466135539. The next prime is 10466135551. The reversal of 10466135550 is 5553166401.

10466135550 is a `hidden beast` number, since 1 + 0 + 46 + 61 + 3 + 5 + 550 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10466135551) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7212325 + ... + 7213775.

Almost surely, 2^10466135550 is an apocalyptic number.

10466135550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10466135550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15783817896).

10466135550 is an abundant number, since it is smaller than the sum of its proper divisors (21101500242).

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

10466135550 is a wasteful number, since it uses less digits than its factorization.

10466135550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 10466135550 in words is "ten billion, four hundred sixty-six million, one hundred thirty-five thousand, five hundred fifty".