35020112064 has 448 divisors, whose sum is σ = 118316630016. Its totient is φ = 8906489856.

The previous prime is 35020111963. The next prime is 35020112077. The reversal of 35020112064 is 46021102053.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 54126589 + ... + 54127235.

Almost surely, 2^35020112064 is an apocalyptic number.

35020112064 is a gapful number since it is divisible by the number (34) 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 35020112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59158315008).

35020112064 is an abundant number, since it is smaller than the sum of its proper divisors (83296517952).

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

35020112064 is a wasteful number, since it uses less digits than its factorization.

35020112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 35020112064 in words is "thirty-five billion, twenty million, one hundred twelve thousand, sixty-four".