5625264153600 has 3168 divisors, whose sum is σ = 27111916948480. Its totient is φ = 1122252226560.

The previous prime is 5625264153577. The next prime is 5625264153667. The reversal of 5625264153600 is 63514625265.

5625264153600 is a `hidden beast` number, since 5 + 6 + 2 + 5 + 26 + 4 + 15 + 3 + 600 = 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10755762939 + ... + 10755763461.

Almost surely, 2^{5625264153600} is an apocalyptic number.

5625264153600 is a gapful number since it is divisible by the number (50) 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 5625264153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13555958474240).

5625264153600 is an abundant number, since it is smaller than the sum of its proper divisors (21486652794880).

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

5625264153600 is a wasteful number, since it uses less digits than its factorization.

5625264153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

Adding to 5625264153600 its reverse (63514625265), we get a palindrome (5688778778865).

The spelling of 5625264153600 in words is "five trillion, six hundred twenty-five billion, two hundred sixty-four million, one hundred fifty-three thousand, six hundred".