1561767627420 has 1920 divisors, whose sum is σ = 6988122408960. Its totient is φ = 281190113280.

The previous prime is 1561767627349. The next prime is 1561767627457. The reversal of 1561767627420 is 247267671651.

1561767627420 is a `hidden beast` number, since 1 + 5 + 6 + 1 + 7 + 6 + 7 + 627 + 4 + 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 639 ways as a sum of consecutive naturals, for example, 5330264794 + ... + 5330265086.

It is an arithmetic number, because the mean of its divisors is an integer number (3639647088).

Almost surely, 2^{1561767627420} is an apocalyptic number.

1561767627420 is a gapful number since it is divisible by the number (10) 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 1561767627420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494061204480).

1561767627420 is an abundant number, since it is smaller than the sum of its proper divisors (5426354781540).

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

1561767627420 is a wasteful number, since it uses less digits than its factorization.

1561767627420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 1561767627420 in words is "one trillion, five hundred sixty-one billion, seven hundred sixty-seven million, six hundred twenty-seven thousand, four hundred twenty".