20937741000 has 512 divisors, whose sum is σ = 74673930240. Its totient is φ = 4838400000.

The previous prime is 20937740983. The next prime is 20937741023. The reversal of 20937741000 is 14773902.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99230895 + ... + 99231105.

It is an arithmetic number, because the mean of its divisors is an integer number (145847520).

Almost surely, 2^20937741000 is an apocalyptic number.

20937741000 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 20937741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37336965120).

20937741000 is an abundant number, since it is smaller than the sum of its proper divisors (53736189240).

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

20937741000 is a wasteful number, since it uses less digits than its factorization.

20937741000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 20937741000 in words is "twenty billion, nine hundred thirty-seven million, seven hundred forty-one thousand".