97019217263808 has 3360 divisors, whose sum is σ = 386509839851520. Its totient is φ = 23828152320000.

The previous prime is 97019217263807. The next prime is 97019217263851. The reversal of 97019217263808 is 80836271291079.

97019217263808 is a `hidden beast` number, since 9 + 7 + 0 + 19 + 217 + 26 + 380 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (97019217263807) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 507954016993 + ... + 507954017183.

It is an arithmetic number, because the mean of its divisors is an integer number (115032690432).

Almost surely, 2^{97019217263808} is an apocalyptic number.

97019217263808 is a gapful number since it is divisible by the number (98) 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 97019217263808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193254919925760).

97019217263808 is an abundant number, since it is smaller than the sum of its proper divisors (289490622587712).

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

97019217263808 is a wasteful number, since it uses less digits than its factorization.

97019217263808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 97019217263808 in words is "ninety-seven trillion, nineteen billion, two hundred seventeen million, two hundred sixty-three thousand, eight hundred eight".