201021763488 has 192 divisors, whose sum is σ = 650109358080. Its totient is φ = 52963310592.

The previous prime is 201021763487. The next prime is 201021763493. The reversal of 201021763488 is 884367120102.

It is a super-2 number, since 2×201021763488² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (201021763487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9065631 + ... + 9087777.

It is an arithmetic number, because the mean of its divisors is an integer number (3385986240).

Almost surely, 2^201021763488 is an apocalyptic number.

201021763488 is a gapful number since it is divisible by the number (28) 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 201021763488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325054679040).

201021763488 is an abundant number, since it is smaller than the sum of its proper divisors (449087594592).

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

201021763488 is a wasteful number, since it uses less digits than its factorization.

201021763488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23219 (or 23211 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 201021763488 in words is "two hundred one billion, twenty-one million, seven hundred sixty-three thousand, four hundred eighty-eight".