36097745523840 has 9216 divisors, whose sum is σ = 198560844288000. Its totient is φ = 6086629785600.

The previous prime is 36097745523811. The next prime is 36097745523841. The reversal of 36097745523840 is 4832554779063.

It is a happy number.

36097745523840 is a `hidden beast` number, since 3 + 6 + 0 + 9 + 7 + 7 + 4 + 552 + 38 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (36097745523841) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 508418951005 + ... + 508418951075.

It is an arithmetic number, because the mean of its divisors is an integer number (21545230500).

Almost surely, 2^{36097745523840} is an apocalyptic number.

36097745523840 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 36097745523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99280422144000).

36097745523840 is an abundant number, since it is smaller than the sum of its proper divisors (162463098764160).

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

36097745523840 is a wasteful number, since it uses less digits than its factorization.

36097745523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 36097745523840 in words is "thirty-six trillion, ninety-seven billion, seven hundred forty-five million, five hundred twenty-three thousand, eight hundred forty".