31778526666672 has 1920 divisors, whose sum is σ = 108601549056000. Its totient is φ = 8939319459840.

The previous prime is 31778526666661. The next prime is 31778526666727. The reversal of 31778526666672 is 27666662587713.

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

Its product of digits (1280240640) is a multiple of the sum of its prime divisors (343).

It is a self number, because there is not a number n which added to its sum of digits gives 31778526666672.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 291546116154 + ... + 291546116262.

It is an arithmetic number, because the mean of its divisors is an integer number (56563306800).

Almost surely, 2^{31778526666672} 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 31778526666672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54300774528000).

31778526666672 is an abundant number, since it is smaller than the sum of its proper divisors (76823022389328).

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

31778526666672 is a wasteful number, since it uses less digits than its factorization.

31778526666672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 343 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 72.

The spelling of 31778526666672 in words is "thirty-one trillion, seven hundred seventy-eight billion, five hundred twenty-six million, six hundred sixty-six thousand, six hundred seventy-two".