945977825520 has 640 divisors, whose sum is σ = 4019456071680. Its totient is φ = 199135272960.

The previous prime is 945977825491. The next prime is 945977825521. The reversal of 945977825520 is 25528779549.

945977825520 is a `hidden beast` number, since 9 + 4 + 5 + 9 + 7 + 78 + 2 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945977825521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89822655 + ... + 89833185.

It is an arithmetic number, because the mean of its divisors is an integer number (6280400112).

Almost surely, 2^945977825520 is an apocalyptic number.

945977825520 is a gapful number since it is divisible by the number (90) 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 945977825520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009728035840).

945977825520 is an abundant number, since it is smaller than the sum of its proper divisors (3073478246160).

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

945977825520 is a wasteful number, since it uses less digits than its factorization.

945977825520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11030 (or 11018 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 945977825520 in words is "nine hundred forty-five billion, nine hundred seventy-seven million, eight hundred twenty-five thousand, five hundred twenty".