11742958402560 has 2816 divisors, whose sum is σ = 56565271756800. Its totient is φ = 2235904819200.

The previous prime is 11742958402547. The next prime is 11742958402573. The reversal of 11742958402560 is 6520485924711.

11742958402560 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 2 + 9 + 584 + 0 + 2 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11742958402547) and next prime (11742958402573).

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a junction number, because it is equal to n+sod(n) for n = 11742958402497 and 11742958402506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6269597784 + ... + 6269599656.

Almost surely, 2^{11742958402560} is an apocalyptic number.

11742958402560 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 11742958402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28282635878400).

11742958402560 is an abundant number, since it is smaller than the sum of its proper divisors (44822313354240).

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

11742958402560 is a wasteful number, since it uses less digits than its factorization.

11742958402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 11742958402560 in words is "eleven trillion, seven hundred forty-two billion, nine hundred fifty-eight million, four hundred two thousand, five hundred sixty".