5477411177820 has 192 divisors, whose sum is σ = 17327243404800. Its totient is φ = 1454205794112.

The previous prime is 5477411177767. The next prime is 5477411177911. The reversal of 5477411177820 is 287711147745.

5477411177820 is a `hidden beast` number, since 54 + 7 + 7 + 411 + 177 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 9653151 + ... + 10204809.

It is an arithmetic number, because the mean of its divisors is an integer number (90246059400).

Almost surely, 2^{5477411177820} 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 5477411177820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8663621702400).

5477411177820 is an abundant number, since it is smaller than the sum of its proper divisors (11849832226980).

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

5477411177820 is a wasteful number, since it uses less digits than its factorization.

5477411177820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551916 (or 551896 counting only the distinct ones).

The product of its (nonzero) digits is 3073280, while the sum is 54.

The spelling of 5477411177820 in words is "five trillion, four hundred seventy-seven billion, four hundred eleven million, one hundred seventy-seven thousand, eight hundred twenty".