5460505689600 has 1440 divisors, whose sum is σ = 21776549899104. Its totient is φ = 1298084659200.

The previous prime is 5460505689553. The next prime is 5460505689601. The reversal of 5460505689600 is 69865050645.

5460505689600 is a `hidden beast` number, since 5 + 46 + 0 + 505 + 6 + 8 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460505689601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6938380407 + ... + 6938381193.

Almost surely, 2^{5460505689600} is an apocalyptic number.

5460505689600 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 5460505689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10888274949552).

5460505689600 is an abundant number, since it is smaller than the sum of its proper divisors (16316044209504).

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

5460505689600 is a wasteful number, since it uses less digits than its factorization.

5460505689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5460505689600 in words is "five trillion, four hundred sixty billion, five hundred five million, six hundred eighty-nine thousand, six hundred".