36000235681410 has 1024 divisors, whose sum is σ = 127252784332800. Its totient is φ = 6269637427200.

The previous prime is 36000235681409. The next prime is 36000235681451. The reversal of 36000235681410 is 1418653200063.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2266866670 + ... + 2266882550.

It is an arithmetic number, because the mean of its divisors is an integer number (124270297200).

Almost surely, 2^{36000235681410} is an apocalyptic number.

36000235681410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36000235681410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63626392166400).

36000235681410 is an abundant number, since it is smaller than the sum of its proper divisors (91252548651390).

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

36000235681410 is a wasteful number, since it uses less digits than its factorization.

36000235681410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16107.

The product of its (nonzero) digits is 103680, while the sum is 39.

Adding to 36000235681410 its reverse (1418653200063), we get a palindrome (37418888881473).

The spelling of 36000235681410 in words is "thirty-six trillion, two hundred thirty-five million, six hundred eighty-one thousand, four hundred ten".