97073987991552 has 1728 divisors, whose sum is σ = 345583365079680. Its totient is φ = 26986128998400.

The previous prime is 97073987991527. The next prime is 97073987991557. The reversal of 97073987991552 is 25519978937079.

97073987991552 is a `hidden beast` number, since 9 + 7 + 0 + 7 + 398 + 79 + 9 + 155 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97073987991557) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 293274888027 + ... + 293274888357.

It is an arithmetic number, because the mean of its divisors is an integer number (199990373310).

Almost surely, 2^{97073987991552} 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 97073987991552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172791682539840).

97073987991552 is an abundant number, since it is smaller than the sum of its proper divisors (248509377088128).

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

97073987991552 is a wasteful number, since it uses less digits than its factorization.

97073987991552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 2700507600, while the sum is 81.

The spelling of 97073987991552 in words is "ninety-seven trillion, seventy-three billion, nine hundred eighty-seven million, nine hundred ninety-one thousand, five hundred fifty-two".