36507890012160 has 3328 divisors, whose sum is σ = 152184324096000. Its totient is φ = 7444994457600.

The previous prime is 36507890012137. The next prime is 36507890012173. The reversal of 36507890012160 is 6121009870563.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 776763617257 + ... + 776763617303.

Almost surely, 2^{36507890012160} is an apocalyptic number.

36507890012160 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 36507890012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76092162048000).

36507890012160 is an abundant number, since it is smaller than the sum of its proper divisors (115676434083840).

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

36507890012160 is a wasteful number, since it uses less digits than its factorization.

36507890012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 36507890012160 in words is "thirty-six trillion, five hundred seven billion, eight hundred ninety million, twelve thousand, one hundred sixty".