97951935690 has 512 divisors, whose sum is σ = 325912688640. Its totient is φ = 20426784768.

The previous prime is 97951935677. The next prime is 97951935737. The reversal of 97951935690 is 9653915979.

It is a happy number.

It is a super-4 number, since 4×97951935690⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 255 ways as a sum of consecutive naturals, for example, 165180034 + ... + 165180626.

It is an arithmetic number, because the mean of its divisors is an integer number (636548220).

Almost surely, 2^97951935690 is an apocalyptic number.

97951935690 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97951935690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162956344320).

97951935690 is an abundant number, since it is smaller than the sum of its proper divisors (227960752950).

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

97951935690 is a wasteful number, since it uses less digits than its factorization.

97951935690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 20667150, while the sum is 63.

The spelling of 97951935690 in words is "ninety-seven billion, nine hundred fifty-one million, nine hundred thirty-five thousand, six hundred ninety".