20201577132000 has 768 divisors, whose sum is σ = 74761611724800. Its totient is φ = 4723712000000.

The previous prime is 20201577131969. The next prime is 20201577132001. The reversal of 20201577132000 is 23177510202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201577132001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5049130000 + ... + 5049134000.

It is an arithmetic number, because the mean of its divisors is an integer number (97345848600).

Almost surely, 2^{20201577132000} is an apocalyptic number.

20201577132000 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 20201577132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37380805862400).

20201577132000 is an abundant number, since it is smaller than the sum of its proper divisors (54560034592800).

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

20201577132000 is a wasteful number, since it uses less digits than its factorization.

20201577132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5388 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 20201577132000 in words is "twenty trillion, two hundred one billion, five hundred seventy-seven million, one hundred thirty-two thousand".