16978557147552 has 1728 divisors, whose sum is σ = 67210684789248. Its totient is φ = 3954637209600.

The previous prime is 16978557147523. The next prime is 16978557147557. The reversal of 16978557147552 is 25574175587961.

16978557147552 is a `hidden beast` number, since 1 + 6 + 9 + 7 + 8 + 5 + 57 + 14 + 7 + 552 = 666.

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 (16978557147557) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16436163228 + ... + 16436164260.

It is an arithmetic number, because the mean of its divisors is an integer number (38895072216).

Almost surely, 2^{16978557147552} is an apocalyptic number.

16978557147552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16978557147552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33605342394624).

16978557147552 is an abundant number, since it is smaller than the sum of its proper divisors (50232127641696).

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

16978557147552 is a wasteful number, since it uses less digits than its factorization.

16978557147552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1213 counting only the distinct ones).

The product of its digits is 740880000, while the sum is 72.

The spelling of 16978557147552 in words is "sixteen trillion, nine hundred seventy-eight billion, five hundred fifty-seven million, one hundred forty-seven thousand, five hundred fifty-two".