97849359720 has 256 divisors, whose sum is σ = 373621248000. Its totient is φ = 22313864448.

The previous prime is 97849359689. The next prime is 97849359739. The reversal of 97849359720 is 2795394879.

97849359720 is a `hidden beast` number, since 9 + 78 + 493 + 5 + 9 + 72 + 0 = 666.

It is a super-2 number, since 2×97849359720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3304099 + ... + 3333581.

It is an arithmetic number, because the mean of its divisors is an integer number (1459458000).

Almost surely, 2^97849359720 is an apocalyptic number.

97849359720 is a gapful number since it is divisible by the number (90) 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 97849359720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186810624000).

97849359720 is an abundant number, since it is smaller than the sum of its proper divisors (275771888280).

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

97849359720 is a wasteful number, since it uses less digits than its factorization.

97849359720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29949 (or 29939 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 97849359720 in words is "ninety-seven billion, eight hundred forty-nine million, three hundred fifty-nine thousand, seven hundred twenty".