59225429197440 has 2688 divisors, whose sum is σ = 249829369830720. Its totient is φ = 13303633674240.

The previous prime is 59225429197349. The next prime is 59225429197463. The reversal of 59225429197440 is 4479192452295.

59225429197440 is a `hidden beast` number, since 5 + 9 + 2 + 2 + 542 + 9 + 19 + 74 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 108273179247 + ... + 108273179793.

Almost surely, 2^{59225429197440} 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 59225429197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124914684915360).

59225429197440 is an abundant number, since it is smaller than the sum of its proper divisors (190603940633280).

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

59225429197440 is a wasteful number, since it uses less digits than its factorization.

59225429197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 59225429197440 in words is "fifty-nine trillion, two hundred twenty-five billion, four hundred twenty-nine million, one hundred ninety-seven thousand, four hundred forty".