1545840225792 has 400 divisors, whose sum is σ = 4747561298832. Its totient is φ = 500570357760.

The previous prime is 1545840225773. The next prime is 1545840225793. The reversal of 1545840225792 is 2975220485451.

1545840225792 is a `hidden beast` number, since 1 + 5 + 4 + 5 + 8 + 40 + 22 + 579 + 2 = 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 (1545840225793) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 202835742 + ... + 202843362.

Almost surely, 2^{1545840225792} is an apocalyptic number.

1545840225792 is a gapful number since it is divisible by the number (12) 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 1545840225792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373780649416).

1545840225792 is an abundant number, since it is smaller than the sum of its proper divisors (3201721073040).

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

1545840225792 is an frugal number, since it uses more digits than its factorization.

1545840225792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7791 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 1545840225792 in words is "one trillion, five hundred forty-five billion, eight hundred forty million, two hundred twenty-five thousand, seven hundred ninety-two".