978516237888 has 448 divisors, whose sum is σ = 3445751808000. Its totient is φ = 266235475968.

The previous prime is 978516237887. The next prime is 978516237929. The reversal of 978516237888 is 888732615879.

978516237888 is a `hidden beast` number, since 9 + 7 + 8 + 516 + 23 + 7 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (978516237887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63701953 + ... + 63717311.

Almost surely, 2^978516237888 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 978516237888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722875904000).

978516237888 is an abundant number, since it is smaller than the sum of its proper divisors (2467235570112).

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

978516237888 is a wasteful number, since it uses less digits than its factorization.

978516237888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15639 (or 15623 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 72.

The spelling of 978516237888 in words is "nine hundred seventy-eight billion, five hundred sixteen million, two hundred thirty-seven thousand, eight hundred eighty-eight".