56934512406000 has 480 divisors, whose sum is σ = 199653517732032. Its totient is φ = 15121503590400.

The previous prime is 56934512405977. The next prime is 56934512406017. The reversal of 56934512406000 is 60421543965.

56934512406000 is a `hidden beast` number, since 5 + 6 + 9 + 34 + 5 + 1 + 2 + 4 + 0 + 600 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16681660294 + ... + 16681663706.

Almost surely, 2^{56934512406000} is an apocalyptic number.

56934512406000 is a gapful number since it is divisible by the number (50) 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 56934512406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99826758866016).

56934512406000 is an abundant number, since it is smaller than the sum of its proper divisors (142719005326032).

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

56934512406000 is a wasteful number, since it uses less digits than its factorization.

56934512406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6898 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 56934512406000 its reverse (60421543965), we get a palindrome (56994933949965).

The spelling of 56934512406000 in words is "fifty-six trillion, nine hundred thirty-four billion, five hundred twelve million, four hundred six thousand".