11697587040 has 96 divisors (see below), whose sum is σ = 36939895776. Its totient is φ = 3111526400.

The previous prime is 11697587029. The next prime is 11697587051. The reversal of 11697587040 is 4078579611.

It is an interprime number because it is at equal distance from previous prime (11697587029) and next prime (11697587051).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162094 + ... + 222866.

It is an arithmetic number, because the mean of its divisors is an integer number (384790581).

Almost surely, 2^11697587040 is an apocalyptic number.

11697587040 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 11697587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18469947888).

11697587040 is an abundant number, since it is smaller than the sum of its proper divisors (25242308736).

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

11697587040 is a wasteful number, since it uses less digits than its factorization.

11697587040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61192 (or 61184 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 11697587040 in words is "eleven billion, six hundred ninety-seven million, five hundred eighty-seven thousand, forty".