1377220845528 has 448 divisors, whose sum is σ = 4386175073280. Its totient is φ = 401442220800.

The previous prime is 1377220845491. The next prime is 1377220845529. The reversal of 1377220845528 is 8255480227731.

1377220845528 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 2 + 2 + 0 + 84 + 552 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377220845529) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 344045175 + ... + 344049177.

It is an arithmetic number, because the mean of its divisors is an integer number (9790569360).

Almost surely, 2^{1377220845528} is an apocalyptic number.

1377220845528 is a gapful number since it is divisible by the number (18) 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 1377220845528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193087536640).

1377220845528 is an abundant number, since it is smaller than the sum of its proper divisors (3008954227752).

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

1377220845528 is a wasteful number, since it uses less digits than its factorization.

1377220845528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 1377220845528 in words is "one trillion, three hundred seventy-seven billion, two hundred twenty million, eight hundred forty-five thousand, five hundred twenty-eight".