978106553424 has 1440 divisors, whose sum is σ = 3975717537792. Its totient is φ = 216371865600.

The previous prime is 978106553407. The next prime is 978106553449. The reversal of 978106553424 is 424355601879.

It is a happy number.

978106553424 is a `hidden beast` number, since 9 + 7 + 81 + 0 + 6 + 5 + 534 + 24 = 666.

978106553424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×978106553424² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3186014679 + ... + 3186014985.

It is a 1-persistent number, because it is pandigital, but 2⋅978106553424 = 1956213106848 is not.

Almost surely, 2^978106553424 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 978106553424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987858768896).

978106553424 is an abundant number, since it is smaller than the sum of its proper divisors (2997610984368).

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

978106553424 is a wasteful number, since it uses less digits than its factorization.

978106553424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 978106553424 in words is "nine hundred seventy-eight billion, one hundred six million, five hundred fifty-three thousand, four hundred twenty-four".