35553368471040 has 960 divisors, whose sum is σ = 144403189032960. Its totient is φ = 7915529502720.

The previous prime is 35553368471039. The next prime is 35553368471059. The reversal of 35553368471040 is 4017486335553.

35553368471040 is a `hidden beast` number, since 3 + 5 + 5 + 533 + 68 + 4 + 7 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×35553368471040² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1599402646 + ... + 1599424874.

It is an arithmetic number, because the mean of its divisors is an integer number (150419988576).

Almost surely, 2^{35553368471040} is an apocalyptic number.

35553368471040 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 35553368471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72201594516480).

35553368471040 is an abundant number, since it is smaller than the sum of its proper divisors (108849820561920).

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

35553368471040 is a wasteful number, since it uses less digits than its factorization.

35553368471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22523 (or 22504 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 35553368471040 in words is "thirty-five trillion, five hundred fifty-three billion, three hundred sixty-eight million, four hundred seventy-one thousand, forty".