11362621680 has 240 divisors, whose sum is σ = 41656917120. Its totient is φ = 2870463744.

The previous prime is 11362621649. The next prime is 11362621691. The reversal of 11362621680 is 8612626311.

It is a happy number.

11362621680 is a `hidden beast` number, since 1 + 1 + 3 + 626 + 21 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 353979 + ... + 384741.

It is an arithmetic number, because the mean of its divisors is an integer number (173570488).

Almost surely, 2^11362621680 is an apocalyptic number.

11362621680 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 11362621680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20828458560).

11362621680 is an abundant number, since it is smaller than the sum of its proper divisors (30294295440).

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

11362621680 is a wasteful number, since it uses less digits than its factorization.

11362621680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30810 (or 30792 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11362621680 in words is "eleven billion, three hundred sixty-two million, six hundred twenty-one thousand, six hundred eighty".