36151920414720 has 2080 divisors, whose sum is σ = 147095207829504. Its totient is φ = 8449140326400.

The previous prime is 36151920414601. The next prime is 36151920414763. The reversal of 36151920414720 is 2741402915163.

36151920414720 is a `hidden beast` number, since 3 + 6 + 1 + 51 + 92 + 0 + 41 + 472 + 0 = 666.

It is a super-2 number, since 2×36151920414720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 137459773309 + ... + 137459773571.

Almost surely, 2^{36151920414720} is an apocalyptic number.

36151920414720 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 36151920414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73547603914752).

36151920414720 is an abundant number, since it is smaller than the sum of its proper divisors (110943287414784).

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

36151920414720 is an frugal number, since it uses more digits than its factorization.

36151920414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 36151920414720 in words is "thirty-six trillion, one hundred fifty-one billion, nine hundred twenty million, four hundred fourteen thousand, seven hundred twenty".