123783525472320 has 2688 divisors, whose sum is σ = 570768187392000. Its totient is φ = 23954678415360.

The previous prime is 123783525472307. The next prime is 123783525472337. The reversal of 123783525472320 is 23274525387321.

123783525472320 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 8 + 3 + 52 + 547 + 23 + 20 = 666.

It is a super-2 number, since 2×123783525472320² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7920110266 + ... + 7920125894.

Almost surely, 2^{123783525472320} is an apocalyptic number.

123783525472320 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 123783525472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285384093696000).

123783525472320 is an abundant number, since it is smaller than the sum of its proper divisors (446984661919680).

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

123783525472320 is a wasteful number, since it uses less digits than its factorization.

123783525472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15761 (or 15748 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 123783525472320 in words is "one hundred twenty-three trillion, seven hundred eighty-three billion, five hundred twenty-five million, four hundred seventy-two thousand, three hundred twenty".