20085245150040 has 256 divisors, whose sum is σ = 76535640115200. Its totient is φ = 4589687950848.

The previous prime is 20085245150039. The next prime is 20085245150051. The reversal of 20085245150040 is 4005154258002.

20085245150040 is a `hidden beast` number, since 2 + 0 + 0 + 85 + 24 + 51 + 500 + 4 + 0 = 666.

It is a super-2 number, since 2×20085245150040² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20085245149977 and 20085245150004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28125882 + ... + 28831158.

It is an arithmetic number, because the mean of its divisors is an integer number (298967344200).

Almost surely, 2^{20085245150040} is an apocalyptic number.

20085245150040 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 20085245150040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38267820057600).

20085245150040 is an abundant number, since it is smaller than the sum of its proper divisors (56450394965160).

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

20085245150040 is a wasteful number, since it uses less digits than its factorization.

20085245150040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709071 (or 709061 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 20085245150040 in words is "twenty trillion, eighty-five billion, two hundred forty-five million, one hundred fifty thousand, forty".