20377925568 has 1512 divisors, whose sum is σ = 88314525936. Its totient is φ = 4598415360.

The previous prime is 20377925567. The next prime is 20377925591. The reversal of 20377925568 is 86552977302.

20377925568 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 79 + 2 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20377925567) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1198701496 + ... + 1198701512.

It is an arithmetic number, because the mean of its divisors is an integer number (58409078).

Almost surely, 2^20377925568 is an apocalyptic number.

20377925568 is a gapful number since it is divisible by the number (28) 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 20377925568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44157262968).

20377925568 is an abundant number, since it is smaller than the sum of its proper divisors (67936600368).

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

20377925568 is a wasteful number, since it uses less digits than its factorization.

20377925568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 20377925568 in words is "twenty billion, three hundred seventy-seven million, nine hundred twenty-five thousand, five hundred sixty-eight".