54865086577350 has 1536 divisors, whose sum is σ = 178188595200000. Its totient is φ = 10890580377600.

The previous prime is 54865086577319. The next prime is 54865086577487. The reversal of 54865086577350 is 5377568056845.

It is a super-2 number, since 2×54865086577350² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 275703952551 + ... + 275703952749.

It is an arithmetic number, because the mean of its divisors is an integer number (116008200000).

Almost surely, 2^{54865086577350} is an apocalyptic number.

54865086577350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54865086577350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89094297600000).

54865086577350 is an abundant number, since it is smaller than the sum of its proper divisors (123323508622650).

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

54865086577350 is a wasteful number, since it uses less digits than its factorization.

54865086577350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 846720000, while the sum is 69.

The spelling of 54865086577350 in words is "fifty-four trillion, eight hundred sixty-five billion, eighty-six million, five hundred seventy-seven thousand, three hundred fifty".