97427890560 has 1024 divisors, whose sum is σ = 420871127040. Its totient is φ = 18513100800.

The previous prime is 97427890559. The next prime is 97427890583. The reversal of 97427890560 is 6509872479.

It is a super-2 number, since 2×97427890560² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97427890560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 313272805 + ... + 313273115.

It is an arithmetic number, because the mean of its divisors is an integer number (411006960).

Almost surely, 2^97427890560 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 97427890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210435563520).

97427890560 is an abundant number, since it is smaller than the sum of its proper divisors (323443236480).

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

97427890560 is a wasteful number, since it uses less digits than its factorization.

97427890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 97427890560 in words is "ninety-seven billion, four hundred twenty-seven million, eight hundred ninety thousand, five hundred sixty".