54653591417000 has 32 divisors (see below), whose sum is σ = 127889403918120. Its totient is φ = 21861436566400.

The previous prime is 54653591416993. The next prime is 54653591417003. The reversal of 54653591417000 is 71419535645.

54653591417000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19786999234564 + 34866592182436 = 4448258^2 + 5904794^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 54653591417000.

It is not an unprimeable number, because it can be changed into a prime (54653591417003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27326794709 + ... + 27326796708.

Almost surely, 2^{54653591417000} is an apocalyptic number.

54653591417000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54653591417000 is an abundant number, since it is smaller than the sum of its proper divisors (73235812501120).

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

54653591417000 is a wasteful number, since it uses less digits than its factorization.

54653591417000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54653591438 (or 54653591424 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 50.

The spelling of 54653591417000 in words is "fifty-four trillion, six hundred fifty-three billion, five hundred ninety-one million, four hundred seventeen thousand".