101798395920 has 480 divisors, whose sum is σ = 383692108800. Its totient is φ = 24934459392.

The previous prime is 101798395891. The next prime is 101798395931. The reversal of 101798395920 is 29593897101.

101798395920 is a `hidden beast` number, since 1 + 0 + 17 + 9 + 8 + 39 + 592 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57872001 + ... + 57873759.

It is an arithmetic number, because the mean of its divisors is an integer number (799358560).

Almost surely, 2^101798395920 is an apocalyptic number.

101798395920 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 101798395920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191846054400).

101798395920 is an abundant number, since it is smaller than the sum of its proper divisors (281893712880).

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

101798395920 is a wasteful number, since it uses less digits than its factorization.

101798395920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 101798395920 in words is "one hundred one billion, seven hundred ninety-eight million, three hundred ninety-five thousand, nine hundred twenty".