20138593680 has 160 divisors (see below), whose sum is σ = 70503880320. Its totient is φ = 5282219520.

The previous prime is 20138593591. The next prime is 20138593711. The reversal of 20138593680 is 8639583102.

It is a happy number.

20138593680 is a `hidden beast` number, since 20 + 1 + 38 + 593 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55339 + ... + 208181.

It is an arithmetic number, because the mean of its divisors is an integer number (440649252).

Almost surely, 2^20138593680 is an apocalyptic number.

20138593680 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 20138593680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251940160).

20138593680 is an abundant number, since it is smaller than the sum of its proper divisors (50365286640).

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

20138593680 is a wasteful number, since it uses less digits than its factorization.

20138593680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152926 (or 152914 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20138593680 in words is "twenty billion, one hundred thirty-eight million, five hundred ninety-three thousand, six hundred eighty".