35625567894880 has 192 divisors, whose sum is σ = 87975457855488. Its totient is φ = 13607285852160.

The previous prime is 35625567894877. The next prime is 35625567894911. The reversal of 35625567894880 is 8849876552653.

It is a junction number, because it is equal to n+sod(n) for n = 35625567894797 and 35625567894806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9779182339 + ... + 9779185981.

It is an arithmetic number, because the mean of its divisors is an integer number (458205509664).

Almost surely, 2^{35625567894880} 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 35625567894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43987728927744).

35625567894880 is an abundant number, since it is smaller than the sum of its proper divisors (52349889960608).

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

35625567894880 is a wasteful number, since it uses less digits than its factorization.

35625567894880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7509 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 3483648000, while the sum is 76.

The spelling of 35625567894880 in words is "thirty-five trillion, six hundred twenty-five billion, five hundred sixty-seven million, eight hundred ninety-four thousand, eight hundred eighty".