20006157600 has 1440 divisors, whose sum is σ = 91470145536. Its totient is φ = 4180377600.

The previous prime is 20006157599. The next prime is 20006157629. The reversal of 20006157600 is 675160002.

20006157600 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 6 + 1 + 57 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 157528737 + ... + 157528863.

Almost surely, 2^20006157600 is an apocalyptic number.

20006157600 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 20006157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45735072768).

20006157600 is an abundant number, since it is smaller than the sum of its proper divisors (71463987936).

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

20006157600 is a wasteful number, since it uses less digits than its factorization.

20006157600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 20006157600 in words is "twenty billion, six million, one hundred fifty-seven thousand, six hundred".