11696526455040 has 1152 divisors, whose sum is σ = 49593120030720. Its totient is φ = 2552358961152.

The previous prime is 11696526454999. The next prime is 11696526455071. The reversal of 11696526455040 is 4055462569611.

It is a happy number.

11696526455040 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 65 + 26 + 4 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×11696526455040² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3433085017 + ... + 3433088423.

It is an arithmetic number, because the mean of its divisors is an integer number (43049583360).

Almost surely, 2^{11696526455040} is an apocalyptic number.

11696526455040 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 11696526455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24796560015360).

11696526455040 is an abundant number, since it is smaller than the sum of its proper divisors (37896593575680).

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

11696526455040 is a wasteful number, since it uses less digits than its factorization.

11696526455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 11696526455040 in words is "eleven trillion, six hundred ninety-six billion, five hundred twenty-six million, four hundred fifty-five thousand, forty".