11542534080 has 336 divisors, whose sum is σ = 46508432256. Its totient is φ = 2398341120.

The previous prime is 11542534063. The next prime is 11542534103. The reversal of 11542534080 is 8043524511.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×11542534080² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 506287 + ... + 528593.

Almost surely, 2^11542534080 is an apocalyptic number.

11542534080 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 11542534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23254216128).

11542534080 is an abundant number, since it is smaller than the sum of its proper divisors (34965898176).

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

11542534080 is a wasteful number, since it uses less digits than its factorization.

11542534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22352 (or 22335 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 11542534080 in words is "eleven billion, five hundred forty-two million, five hundred thirty-four thousand, eighty".