10801582335264 has 384 divisors, whose sum is σ = 35379632977920. Its totient is φ = 2815474581504.

The previous prime is 10801582335149. The next prime is 10801582335301. The reversal of 10801582335264 is 46253328510801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50146707 + ... + 50361645.

It is an arithmetic number, because the mean of its divisors is an integer number (92134460880).

Almost surely, 2^{10801582335264} is an apocalyptic number.

10801582335264 is a gapful number since it is divisible by the number (14) 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 10801582335264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17689816488960).

10801582335264 is an abundant number, since it is smaller than the sum of its proper divisors (24578050642656).

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

10801582335264 is a wasteful number, since it uses less digits than its factorization.

10801582335264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215112 (or 215104 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 10801582335264 in words is "ten trillion, eight hundred one billion, five hundred eighty-two million, three hundred thirty-five thousand, two hundred sixty-four".