97504828960 has 384 divisors, whose sum is σ = 296558599680. Its totient is φ = 29412556800.

The previous prime is 97504828937. The next prime is 97504828961. The reversal of 97504828960 is 6982840579.

It is a junction number, because it is equal to n+sod(n) for n = 97504828895 and 97504828904.

It is not an unprimeable number, because it can be changed into a prime (97504828961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69200736 + ... + 69202144.

It is an arithmetic number, because the mean of its divisors is an integer number (772288020).

Almost surely, 2^97504828960 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 97504828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148279299840).

97504828960 is an abundant number, since it is smaller than the sum of its proper divisors (199053770720).

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

97504828960 is a wasteful number, since it uses less digits than its factorization.

97504828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 97504828960 in words is "ninety-seven billion, five hundred four million, eight hundred twenty-eight thousand, nine hundred sixty".