2045826525600 has 3456 divisors, whose sum is σ = 9621981653760. Its totient is φ = 419232153600.

The previous prime is 2045826525571. The next prime is 2045826525653. The reversal of 2045826525600 is 65256285402.

It is a happy number.

2045826525600 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 82 + 6 + 5 + 2 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 55292608782 + ... + 55292608818.

It is an arithmetic number, because the mean of its divisors is an integer number (2784138210).

Almost surely, 2^{2045826525600} is an apocalyptic number.

2045826525600 is a gapful number since it is divisible by the number (20) 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 2045826525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810990826880).

2045826525600 is an abundant number, since it is smaller than the sum of its proper divisors (7576155128160).

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

2045826525600 is a wasteful number, since it uses less digits than its factorization.

2045826525600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 2045826525600 in words is "two trillion, forty-five billion, eight hundred twenty-six million, five hundred twenty-five thousand, six hundred".