5527146772224 has 1296 divisors, whose sum is σ = 21856987792640. Its totient is φ = 1359817113600.

The previous prime is 5527146772193. The next prime is 5527146772297. The reversal of 5527146772224 is 4222776417255.

5527146772224 is a `hidden beast` number, since 5 + 527 + 1 + 4 + 6 + 77 + 22 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

Its product of digits (13171200) is a multiple of the sum of its prime factors (5600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1001110584 + ... + 1001116104.

Almost surely, 2^{5527146772224} is an apocalyptic number.

5527146772224 is a gapful number since it is divisible by the number (54) 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 5527146772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10928493896320).

5527146772224 is an abundant number, since it is smaller than the sum of its proper divisors (16329841020416).

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

5527146772224 is a wasteful number, since it uses less digits than its factorization.

5527146772224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600 (or 5563 counting only the distinct ones).

The product of its digits is 13171200, while the sum is 54.

The spelling of 5527146772224 in words is "five trillion, five hundred twenty-seven billion, one hundred forty-six million, seven hundred seventy-two thousand, two hundred twenty-four".