35400432130500 has 192 divisors, whose sum is σ = 105492708921600. Its totient is φ = 9219764736000.

The previous prime is 35400432130463. The next prime is 35400432130513. The reversal of 35400432130500 is 503123400453.

It is a super-2 number, since 2×35400432130500² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1170595380 + ... + 1170625620.

It is an arithmetic number, because the mean of its divisors is an integer number (549441192300).

Almost surely, 2^{35400432130500} is an apocalyptic number.

35400432130500 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 35400432130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52746354460800).

35400432130500 is an abundant number, since it is smaller than the sum of its proper divisors (70092276791100).

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

35400432130500 is a wasteful number, since it uses less digits than its factorization.

35400432130500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48455 (or 48443 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 35400432130500 its reverse (503123400453), we get a palindrome (35903555530953).

The spelling of 35400432130500 in words is "thirty-five trillion, four hundred billion, four hundred thirty-two million, one hundred thirty thousand, five hundred".