101453506560 has 1536 divisors, whose sum is σ = 452874240000. Its totient is φ = 21021327360.

The previous prime is 101453506537. The next prime is 101453506571. The reversal of 101453506560 is 65605354101.

101453506560 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 535 + 0 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1139926996 + ... + 1139927084.

It is an arithmetic number, because the mean of its divisors is an integer number (294840000).

Almost surely, 2^101453506560 is an apocalyptic number.

101453506560 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 101453506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120000).

101453506560 is an abundant number, since it is smaller than the sum of its proper divisors (351420733440).

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

101453506560 is a wasteful number, since it uses less digits than its factorization.

101453506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 101453506560 in words is "one hundred one billion, four hundred fifty-three million, five hundred six thousand, five hundred sixty".