36121926400000 has 1152 divisors, whose sum is σ = 111884618926080. Its totient is φ = 11374755840000.

The previous prime is 36121926399959. The next prime is 36121926400003. The reversal of 36121926400000 is 462912163.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36121926400003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32748799449 + ... + 32748800551.

It is an arithmetic number, because the mean of its divisors is an integer number (97122065040).

Almost surely, 2^{36121926400000} 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 36121926400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55942309463040).

36121926400000 is an abundant number, since it is smaller than the sum of its proper divisors (75762692526080).

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

36121926400000 is an equidigital number, since it uses as much as digits as its factorization.

36121926400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 36121926400000 in words is "thirty-six trillion, one hundred twenty-one billion, nine hundred twenty-six million, four hundred thousand".