35520421200000 has 1152 divisors, whose sum is σ = 130327003537920. Its totient is φ = 8564582400000.

The previous prime is 35520421199999. The next prime is 35520421200031. The reversal of 35520421200000 is 212402553.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32379599452 + ... + 32379600548.

It is an arithmetic number, because the mean of its divisors is an integer number (113131079460).

Almost surely, 2^{35520421200000} is an apocalyptic number.

35520421200000 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 35520421200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65163501768960).

35520421200000 is an abundant number, since it is smaller than the sum of its proper divisors (94806582337920).

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

35520421200000 is a wasteful number, since it uses less digits than its factorization.

35520421200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 35520421200000 its reverse (212402553), we get a palindrome (35520633602553).

The spelling of 35520421200000 in words is "thirty-five trillion, five hundred twenty billion, four hundred twenty-one million, two hundred thousand".