56405200465500 has 192 divisors, whose sum is σ = 166250797719552. Its totient is φ = 14858385043200.

The previous prime is 56405200465463. The next prime is 56405200465531. The reversal of 56405200465500 is 556400250465.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1282701514 + ... + 1282745486.

It is an arithmetic number, because the mean of its divisors is an integer number (865889571456).

Almost surely, 2^{56405200465500} is an apocalyptic number.

56405200465500 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 56405200465500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83125398859776).

56405200465500 is an abundant number, since it is smaller than the sum of its proper divisors (109845597254052).

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

56405200465500 is a wasteful number, since it uses less digits than its factorization.

56405200465500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54381 (or 54369 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 56405200465500 in words is "fifty-six trillion, four hundred five billion, two hundred million, four hundred sixty-five thousand, five hundred".