20961877965000 has 1280 divisors, whose sum is σ = 83808172800000. Its totient is φ = 4251875328000.

The previous prime is 20961877964959. The next prime is 20961877965037. The reversal of 20961877965000 is 56977816902.

20961877965000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7766533651 + ... + 7766536349.

It is an arithmetic number, because the mean of its divisors is an integer number (65475135000).

Almost surely, 2^{20961877965000} is an apocalyptic number.

20961877965000 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 20961877965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41904086400000).

20961877965000 is an abundant number, since it is smaller than the sum of its proper divisors (62846294835000).

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

20961877965000 is a wasteful number, since it uses less digits than its factorization.

20961877965000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 20961877965000 in words is "twenty trillion, nine hundred sixty-one billion, eight hundred seventy-seven million, nine hundred sixty-five thousand".