35006400000 has 1440 divisors, whose sum is σ = 157084383456. Its totient is φ = 7372800000.

The previous prime is 35006399963. The next prime is 35006400053. The reversal of 35006400000 is 460053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2059199992 + ... + 2059200008.

Almost surely, 2^35006400000 is an apocalyptic number.

35006400000 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 35006400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78542191728).

35006400000 is an abundant number, since it is smaller than the sum of its proper divisors (122077983456).

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

35006400000 is a wasteful number, since it uses less digits than its factorization.

35006400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 35006400000 its reverse (460053), we get a palindrome (35006860053).

The spelling of 35006400000 in words is "thirty-five billion, six million, four hundred thousand".