9652501094400 has 504 divisors, whose sum is σ = 34605525639204. Its totient is φ = 2571750604800.

The previous prime is 9652501094381. The next prime is 9652501094413. The reversal of 9652501094400 is 44901052569.

9652501094400 is a `hidden beast` number, since 9 + 6 + 52 + 50 + 109 + 440 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5724113670144 + 3928387424256 = 2392512^2 + 1982016^2 .

It is a super-2 number, since 2×9652501094400² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4123237230 + ... + 4123239570.

Almost surely, 2^{9652501094400} is an apocalyptic number.

9652501094400 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 9652501094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302762819602).

9652501094400 is an abundant number, since it is smaller than the sum of its proper divisors (24953024544804).

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

9652501094400 is a wasteful number, since it uses less digits than its factorization.

9652501094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4620 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 9652501094400 in words is "nine trillion, six hundred fifty-two billion, five hundred one million, ninety-four thousand, four hundred".