11230057734480 has 2240 divisors, whose sum is σ = 47716232965632. Its totient is φ = 2427963310080.

The previous prime is 11230057734461. The next prime is 11230057734527. The reversal of 11230057734480 is 8443775003211.

11230057734480 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 0 + 0 + 577 + 34 + 48 + 0 = 666.

It is a super-2 number, since 2×11230057734480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 12746943640 + ... + 12746944520.

Almost surely, 2^{11230057734480} is an apocalyptic number.

11230057734480 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 11230057734480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23858116482816).

11230057734480 is an abundant number, since it is smaller than the sum of its proper divisors (36486175231152).

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

11230057734480 is a wasteful number, since it uses less digits than its factorization.

11230057734480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 11230057734480 in words is "eleven trillion, two hundred thirty billion, fifty-seven million, seven hundred thirty-four thousand, four hundred eighty".