5651585256240 has 960 divisors, whose sum is σ = 24265283208192. Its totient is φ = 1144765440000.

The previous prime is 5651585256227. The next prime is 5651585256241. The reversal of 5651585256240 is 426525851565.

5651585256240 is a `hidden beast` number, since 5 + 6 + 5 + 1 + 5 + 8 + 5 + 2 + 5 + 624 + 0 = 666.

It is a super-4 number, since 4×5651585256240⁴ (a number of 52 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (5651585256241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 461310115 + ... + 461322365.

Almost surely, 2^{5651585256240} 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 5651585256240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132641604096).

5651585256240 is an abundant number, since it is smaller than the sum of its proper divisors (18613697951952).

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

5651585256240 is a wasteful number, since it uses less digits than its factorization.

5651585256240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12498 (or 12489 counting only the distinct ones).

The product of its (nonzero) digits is 14400000, while the sum is 54.

The spelling of 5651585256240 in words is "five trillion, six hundred fifty-one billion, five hundred eighty-five million, two hundred fifty-six thousand, two hundred forty".