20057782140 has 480 divisors, whose sum is σ = 72997848000. Its totient is φ = 4563578880.

The previous prime is 20057782093. The next prime is 20057782187. The reversal of 20057782140 is 4128775002.

20057782140 is a `hidden beast` number, since 2 + 0 + 0 + 577 + 82 + 1 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20057782093) and next prime (20057782187).

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 = 20057782095 and 20057782104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19120336 + ... + 19121384.

It is an arithmetic number, because the mean of its divisors is an integer number (152078850).

Almost surely, 2^20057782140 is an apocalyptic number.

20057782140 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 20057782140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36498924000).

20057782140 is an abundant number, since it is smaller than the sum of its proper divisors (52940065860).

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

20057782140 is a wasteful number, since it uses less digits than its factorization.

20057782140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 20057782140 in words is "twenty billion, fifty-seven million, seven hundred eighty-two thousand, one hundred forty".