20157610000 has 400 divisors, whose sum is σ = 56479420800. Its totient is φ = 6899200000.

The previous prime is 20157609959. The next prime is 20157610001. The reversal of 20157610000 is 1675102.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20157610001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 226489956 + ... + 226490044.

It is an arithmetic number, because the mean of its divisors is an integer number (141198552).

Almost surely, 2^20157610000 is an apocalyptic number.

20157610000 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 20157610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28239710400).

20157610000 is an abundant number, since it is smaller than the sum of its proper divisors (36321810800).

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

20157610000 is a wasteful number, since it uses less digits than its factorization.

20157610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The spelling of 20157610000 in words is "twenty billion, one hundred fifty-seven million, six hundred ten thousand".