36405519970512 has 1920 divisors, whose sum is σ = 139654741524480. Its totient is φ = 7935551078400.

The previous prime is 36405519970453. The next prime is 36405519970517. The reversal of 36405519970512 is 21507991550463.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36405519970517) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15062274328 + ... + 15062276744.

It is an arithmetic number, because the mean of its divisors is an integer number (72736844544).

Almost surely, 2^{36405519970512} 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 36405519970512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69827370762240).

36405519970512 is an abundant number, since it is smaller than the sum of its proper divisors (103249221553968).

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

36405519970512 is a wasteful number, since it uses less digits than its factorization.

36405519970512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 57.

The spelling of 36405519970512 in words is "thirty-six trillion, four hundred five billion, five hundred nineteen million, nine hundred seventy thousand, five hundred twelve".