35220467842560 has 3840 divisors, whose sum is σ = 168359712288768. Its totient is φ = 6569695641600.

The previous prime is 35220467842559. The next prime is 35220467842583. The reversal of 35220467842560 is 6524876402253.

35220467842560 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 0 + 4 + 6 + 78 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a junction number, because it is equal to n+sod(n) for n = 35220467842497 and 35220467842506.

It is a congruent number.

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, 224334190002 + ... + 224334190158.

Almost surely, 2^{35220467842560} is an apocalyptic number.

35220467842560 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 35220467842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84179856144384).

35220467842560 is an abundant number, since it is smaller than the sum of its proper divisors (133139244446208).

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

35220467842560 is a wasteful number, since it uses less digits than its factorization.

35220467842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 35220467842560 in words is "thirty-five trillion, two hundred twenty billion, four hundred sixty-seven million, eight hundred forty-two thousand, five hundred sixty".