11352010209264 has 240 divisors, whose sum is σ = 32997855002112. Its totient is φ = 3640813028352.

The previous prime is 11352010209257. The next prime is 11352010209271. The reversal of 11352010209264 is 46290201025311.

11352010209264 is a `hidden beast` number, since 1 + 1 + 3 + 520 + 102 + 0 + 9 + 26 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11352010209257) and next prime (11352010209271).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151640227 + ... + 151715069.

Almost surely, 2^{11352010209264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11352010209264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498927501056).

11352010209264 is an abundant number, since it is smaller than the sum of its proper divisors (21645844792848).

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

11352010209264 is a wasteful number, since it uses less digits than its factorization.

11352010209264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75284 (or 75275 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11352010209264 in words is "eleven trillion, three hundred fifty-two billion, ten million, two hundred nine thousand, two hundred sixty-four".