101663160480 has 768 divisors, whose sum is σ = 419918929920. Its totient is φ = 22488883200.

The previous prime is 101663160479. The next prime is 101663160481. The reversal of 101663160480 is 84061366101.

101663160480 is a `hidden beast` number, since 1 + 0 + 16 + 6 + 3 + 160 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (101663160479) and next prime (101663160481).

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

It is not an unprimeable number, because it can be changed into a prime (101663160481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 207053035 + ... + 207053525.

It is an arithmetic number, because the mean of its divisors is an integer number (546769440).

Almost surely, 2^101663160480 is an apocalyptic number.

101663160480 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 101663160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209959464960).

101663160480 is an abundant number, since it is smaller than the sum of its proper divisors (318255769440).

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

101663160480 is a wasteful number, since it uses less digits than its factorization.

101663160480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 101663160480 in words is "one hundred one billion, six hundred sixty-three million, one hundred sixty thousand, four hundred eighty".