11237667840 has 880 divisors, whose sum is σ = 47555904000. Its totient is φ = 2536095744.

The previous prime is 11237667827. The next prime is 11237667853. The reversal of 11237667840 is 4876673211.

It is an interprime number because it is at equal distance from previous prime (11237667827) and next prime (11237667853).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 142248921 + ... + 142248999.

It is an arithmetic number, because the mean of its divisors is an integer number (54040800).

Almost surely, 2^11237667840 is an apocalyptic number.

11237667840 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 11237667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23777952000).

11237667840 is an abundant number, since it is smaller than the sum of its proper divisors (36318236160).

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

11237667840 is an frugal number, since it uses more digits than its factorization.

11237667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 11237667840 in words is "eleven billion, two hundred thirty-seven million, six hundred sixty-seven thousand, eight hundred forty".