35552412572880 has 1280 divisors, whose sum is σ = 140005448220672. Its totient is φ = 7276953600000.

The previous prime is 35552412572879. The next prime is 35552412572917. The reversal of 35552412572880 is 8827521425553.

It is a super-2 number, since 2×35552412572880² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 35552412572880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13502624044 + ... + 13502626676.

Almost surely, 2^{35552412572880} is an apocalyptic number.

35552412572880 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 35552412572880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70002724110336).

35552412572880 is an abundant number, since it is smaller than the sum of its proper divisors (104453035647792).

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

35552412572880 is a wasteful number, since it uses less digits than its factorization.

35552412572880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 26880000, while the sum is 57.

The spelling of 35552412572880 in words is "thirty-five trillion, five hundred fifty-two billion, four hundred twelve million, five hundred seventy-two thousand, eight hundred eighty".