20136190464000 has 2600 divisors, whose sum is σ = 86110030986408. Its totient is φ = 4665035980800.

The previous prime is 20136190463989. The next prime is 20136190464011. The reversal of 20136190464000 is 46409163102.

20136190464000 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 6 + 1 + 9 + 0 + 4 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20136190463989) and next prime (20136190464011).

It can be written as a sum of positive squares in 20 ways, for example, as 8844009836544 + 11292180627456 = 2973888^2 + 3360384^2 .

It is a tau number, because it is divible by the number of its divisors (2600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1184481791992 + ... + 1184481792008.

Almost surely, 2^{20136190464000} is an apocalyptic number.

20136190464000 is a gapful number since it is divisible by the number (20) 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 20136190464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43055015493204).

20136190464000 is an abundant number, since it is smaller than the sum of its proper divisors (65973840522408).

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

20136190464000 is an frugal number, since it uses more digits than its factorization.

20136190464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20136190464000 in words is "twenty trillion, one hundred thirty-six billion, one hundred ninety million, four hundred sixty-four thousand".