101465563680 has 576 divisors, whose sum is σ = 390651206400. Its totient is φ = 24720961536.

The previous prime is 101465563627. The next prime is 101465563687. The reversal of 101465563680 is 86365564101.

101465563680 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 6 + 5 + 5 + 636 + 8 + 0 = 666.

It is a super-2 number, since 2×101465563680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (101465563687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52059346 + ... + 52061294.

It is an arithmetic number, because the mean of its divisors is an integer number (678213900).

Almost surely, 2^101465563680 is an apocalyptic number.

101465563680 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 101465563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195325603200).

101465563680 is an abundant number, since it is smaller than the sum of its proper divisors (289185642720).

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

101465563680 is a wasteful number, since it uses less digits than its factorization.

101465563680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 101465563680 in words is "one hundred one billion, four hundred sixty-five million, five hundred sixty-three thousand, six hundred eighty".