11006437670388 has 240 divisors, whose sum is σ = 29123844288000. Its totient is φ = 3624431469120.

The previous prime is 11006437670387. The next prime is 11006437670447. The reversal of 11006437670388 is 88307673460011.

11006437670388 is a `hidden beast` number, since 1 + 100 + 6 + 437 + 6 + 70 + 38 + 8 = 666.

11006437670388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11006437670388² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006437670387) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8421145231 + ... + 8421146537.

It is an arithmetic number, because the mean of its divisors is an integer number (121349351200).

Almost surely, 2^{11006437670388} is an apocalyptic number.

11006437670388 is a gapful number since it is divisible by the number (18) 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 11006437670388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561922144000).

11006437670388 is an abundant number, since it is smaller than the sum of its proper divisors (18117406617612).

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

11006437670388 is a wasteful number, since it uses less digits than its factorization.

11006437670388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 11006437670388 in words is "eleven trillion, six billion, four hundred thirty-seven million, six hundred seventy thousand, three hundred eighty-eight".