20051588251440 has 480 divisors, whose sum is σ = 70099046873856. Its totient is φ = 5326837447680.

The previous prime is 20051588251427. The next prime is 20051588251441. The reversal of 20051588251440 is 4415288515002.

20051588251440 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 1 + 58 + 82 + 514 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20051588251441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7052966659 + ... + 7052969501.

Almost surely, 2^{20051588251440} is an apocalyptic number.

20051588251440 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 20051588251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35049523436928).

20051588251440 is an abundant number, since it is smaller than the sum of its proper divisors (50047458622416).

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

20051588251440 is a wasteful number, since it uses less digits than its factorization.

20051588251440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 20051588251440 in words is "twenty trillion, fifty-one billion, five hundred eighty-eight million, two hundred fifty-one thousand, four hundred forty".