11652242134500 has 192 divisors, whose sum is σ = 41128884276480. Its totient is φ = 2824785936000.

The previous prime is 11652242134459. The next prime is 11652242134517. The reversal of 11652242134500 is 543124225611.

11652242134500 is a `hidden beast` number, since 1 + 1 + 65 + 22 + 42 + 1 + 34 + 500 = 666.

It is a super-2 number, since 2×11652242134500² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39084639 + ... + 39381638.

It is an arithmetic number, because the mean of its divisors is an integer number (214212938940).

Almost surely, 2^{11652242134500} is an apocalyptic number.

11652242134500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11652242134500 is an abundant number, since it is smaller than the sum of its proper divisors (29476642141980).

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

11652242134500 is a wasteful number, since it uses less digits than its factorization.

11652242134500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78466316 (or 78466298 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 11652242134500 in words is "eleven trillion, six hundred fifty-two billion, two hundred forty-two million, one hundred thirty-four thousand, five hundred".