35013220005400 has 288 divisors, whose sum is σ = 100784132616960. Its totient is φ = 11076492510720.

The previous prime is 35013220005349. The next prime is 35013220005409. The reversal of 35013220005400 is 450002231053.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35013220005409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 592180239 + ... + 592239361.

It is an arithmetic number, because the mean of its divisors is an integer number (349944904920).

Almost surely, 2^{35013220005400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35013220005400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50392066308480).

35013220005400 is an abundant number, since it is smaller than the sum of its proper divisors (65770912611560).

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

35013220005400 is a wasteful number, since it uses less digits than its factorization.

35013220005400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61675 (or 61653 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 35013220005400 its reverse (450002231053), we get a palindrome (35463222236453).

The spelling of 35013220005400 in words is "thirty-five trillion, thirteen billion, two hundred twenty million, five thousand, four hundred".