36142597975680 has 6400 divisors, whose sum is σ = 179210579328000. Its totient is φ = 6882573680640.

The previous prime is 36142597975657. The next prime is 36142597975691. The reversal of 36142597975680 is 8657979524163.

36142597975680 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 2 + 59 + 7 + 9 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 36142597975599 and 36142597975608.

It is an unprimeable number.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 1165890257265 + ... + 1165890257295.

It is an arithmetic number, because the mean of its divisors is an integer number (28001653020).

It is a 1-persistent number, because it is pandigital, but 2⋅36142597975680 = 72285195951360 is not.

Almost surely, 2^{36142597975680} is an apocalyptic number.

36142597975680 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 36142597975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89605289664000).

36142597975680 is an abundant number, since it is smaller than the sum of its proper divisors (143067981352320).

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

36142597975680 is a wasteful number, since it uses less digits than its factorization.

36142597975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 36142597975680 in words is "thirty-six trillion, one hundred forty-two billion, five hundred ninety-seven million, nine hundred seventy-five thousand, six hundred eighty".