11893048534080 has 1568 divisors, whose sum is σ = 51612319570176. Its totient is φ = 2547020464128.

The previous prime is 11893048534033. The next prime is 11893048534099. The reversal of 11893048534080 is 8043584039811.

11893048534080 is a `hidden beast` number, since 1 + 1 + 89 + 3 + 0 + 485 + 3 + 4 + 0 + 80 = 666.

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 223 ways as a sum of consecutive naturals, for example, 7134401407 + ... + 7134403073.

Almost surely, 2^{11893048534080} is an apocalyptic number.

11893048534080 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 11893048534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25806159785088).

11893048534080 is an abundant number, since it is smaller than the sum of its proper divisors (39719271036096).

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

11893048534080 is a wasteful number, since it uses less digits than its factorization.

11893048534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 11893048534080 in words is "eleven trillion, eight hundred ninety-three billion, forty-eight million, five hundred thirty-four thousand, eighty".