5625755406720 has 256 divisors, whose sum is σ = 20067901056000. Its totient is φ = 1489407989760.

The previous prime is 5625755406697. The next prime is 5625755406757. The reversal of 5625755406720 is 276045575265.

5625755406720 is a `hidden beast` number, since 5 + 6 + 2 + 5 + 7 + 554 + 0 + 67 + 20 = 666.

It is a super-3 number, since 3×5625755406720³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1230825 + ... + 3573015.

It is an arithmetic number, because the mean of its divisors is an integer number (78390238500).

Almost surely, 2^{5625755406720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5625755406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10033950528000).

5625755406720 is an abundant number, since it is smaller than the sum of its proper divisors (14442145649280).

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

5625755406720 is a wasteful number, since it uses less digits than its factorization.

5625755406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342358 (or 2342340 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 5625755406720 in words is "five trillion, six hundred twenty-five billion, seven hundred fifty-five million, four hundred six thousand, seven hundred twenty".