101328252480 has 2520 divisors, whose sum is σ = 504592410168. Its totient is φ = 19062521856.

The previous prime is 101328252457. The next prime is 101328252539. The reversal of 101328252480 is 84252823101.

It is a happy number.

101328252480 is a `hidden beast` number, since 1 + 0 + 1 + 328 + 252 + 4 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7427681856 + 93900570624 = 86184^2 + 306432^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5333065911 + ... + 5333065929.

Almost surely, 2^101328252480 is an apocalyptic number.

101328252480 is a gapful number since it is divisible by the number (10) 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 101328252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252296205084).

101328252480 is an abundant number, since it is smaller than the sum of its proper divisors (403264157688).

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

101328252480 is a wasteful number, since it uses less digits than its factorization.

101328252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 101328252480 in words is "one hundred one billion, three hundred twenty-eight million, two hundred fifty-two thousand, four hundred eighty".