97838987904 has 384 divisors, whose sum is σ = 349639680000. Its totient is φ = 25627207680.

The previous prime is 97838987903. The next prime is 97838987941. The reversal of 97838987904 is 40978983879.

97838987904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (97838987903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4739397 + ... + 4759995.

It is an arithmetic number, because the mean of its divisors is an integer number (910520000).

Almost surely, 2^97838987904 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 97838987904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174819840000).

97838987904 is an abundant number, since it is smaller than the sum of its proper divisors (251800692096).

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

97838987904 is a wasteful number, since it uses less digits than its factorization.

97838987904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20676 (or 20661 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 97838987904 in words is "ninety-seven billion, eight hundred thirty-eight million, nine hundred eighty-seven thousand, nine hundred four".