5460065260020 has 768 divisors, whose sum is σ = 20982398976000. Its totient is φ = 1151307717120.

The previous prime is 5460065260007. The next prime is 5460065260031. The reversal of 5460065260020 is 200625600645.

5460065260020 is a `hidden beast` number, since 5 + 4 + 600 + 6 + 5 + 26 + 0 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 827404681 + ... + 827411279.

It is an arithmetic number, because the mean of its divisors is an integer number (27320832000).

Almost surely, 2^{5460065260020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5460065260020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10491199488000).

5460065260020 is an abundant number, since it is smaller than the sum of its proper divisors (15522333715980).

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

5460065260020 is a wasteful number, since it uses less digits than its factorization.

5460065260020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6985 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 5460065260020 in words is "five trillion, four hundred sixty billion, sixty-five million, two hundred sixty thousand, twenty".