101797560480 has 192 divisors, whose sum is σ = 399786928128. Its totient is φ = 21152732160.

The previous prime is 101797560443. The next prime is 101797560523. The reversal of 101797560480 is 84065797101.

101797560480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340172 + ... + 1414091.

It is an arithmetic number, because the mean of its divisors is an integer number (2082223584).

Almost surely, 2^101797560480 is an apocalyptic number.

101797560480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101797560480 is an abundant number, since it is smaller than the sum of its proper divisors (297989367648).

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

101797560480 is a wasteful number, since it uses less digits than its factorization.

101797560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754299 (or 2754291 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 101797560480 in words is "one hundred one billion, seven hundred ninety-seven million, five hundred sixty thousand, four hundred eighty".