11781697536 has 624 divisors, whose sum is σ = 42933945600. Its totient is φ = 3153199104.

The previous prime is 11781697511. The next prime is 11781697547. The reversal of 11781697536 is 63579618711.

11781697536 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 16 + 97 + 536 = 666.

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

Its product of digits (1905120) is a multiple of the sum of its prime divisors (120).

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, 132378580 + ... + 132378668.

It is an arithmetic number, because the mean of its divisors is an integer number (68804400).

Almost surely, 2^11781697536 is an apocalyptic number.

11781697536 is a gapful number since it is divisible by the number (16) 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 11781697536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21466972800).

11781697536 is an abundant number, since it is smaller than the sum of its proper divisors (31152248064).

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

11781697536 is an frugal number, since it uses more digits than its factorization.

11781697536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 11781697536 in words is "eleven billion, seven hundred eighty-one million, six hundred ninety-seven thousand, five hundred thirty-six".