35560546560000 has 5760 divisors, whose sum is σ = 176405272243200. Its totient is φ = 6982778880000.

The previous prime is 35560546559981. The next prime is 35560546560059. The reversal of 35560546560000 is 6564506553.

35560546560000 is a `hidden beast` number, since 3 + 5 + 56 + 0 + 546 + 56 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 428440319959 + ... + 428440320041.

It is an arithmetic number, because the mean of its divisors is an integer number (30625915320).

Almost surely, 2^{35560546560000} is an apocalyptic number.

35560546560000 is a gapful number since it is divisible by the number (30) 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 35560546560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88202636121600).

35560546560000 is an abundant number, since it is smaller than the sum of its proper divisors (140844725683200).

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

35560546560000 is a wasteful number, since it uses less digits than its factorization.

35560546560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 35560546560000 in words is "thirty-five trillion, five hundred sixty billion, five hundred forty-six million, five hundred sixty thousand".