45925265620800 has 1008 divisors, whose sum is σ = 173653447968000. Its totient is φ = 11479018291200.

The previous prime is 45925265620789. The next prime is 45925265620823. The reversal of 45925265620800 is 802656252954.

It is a happy number.

45925265620800 is a `hidden beast` number, since 4 + 5 + 9 + 2 + 5 + 2 + 6 + 5 + 620 + 8 + 0 + 0 = 666.

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, 11047692322 + ... + 11047696478.

It is an arithmetic number, because the mean of its divisors is an integer number (172275246000).

Almost surely, 2^{45925265620800} is an apocalyptic number.

45925265620800 is a gapful number since it is divisible by the number (40) 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 45925265620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86826723984000).

45925265620800 is an abundant number, since it is smaller than the sum of its proper divisors (127728182347200).

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

45925265620800 is a wasteful number, since it uses less digits than its factorization.

45925265620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4624 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 45925265620800 in words is "forty-five trillion, nine hundred twenty-five billion, two hundred sixty-five million, six hundred twenty thousand, eight hundred".