101492128258560 has 1600 divisors, whose sum is σ = 428802037725600. Its totient is φ = 22702014332928.

The previous prime is 101492128258483. The next prime is 101492128258579. The reversal of 101492128258560 is 65852821294101.

It is a happy number.

101492128258560 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 9 + 2 + 1 + 28 + 2 + 58 + 560 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2587671173376 + 98904457085184 = 1608624^2 + 9945072^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 101492128258497 and 101492128258506.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1328932056 + ... + 1329008424.

Almost surely, 2^{101492128258560} is an apocalyptic number.

101492128258560 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 101492128258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214401018862800).

101492128258560 is an abundant number, since it is smaller than the sum of its proper divisors (327309909467040).

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

101492128258560 is a wasteful number, since it uses less digits than its factorization.

101492128258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76463 (or 76438 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 101492128258560 in words is "one hundred one trillion, four hundred ninety-two billion, one hundred twenty-eight million, two hundred fifty-eight thousand, five hundred sixty".