901071452160 has 576 divisors, whose sum is σ = 3422030976000. Its totient is φ = 217469091840.

The previous prime is 901071452137. The next prime is 901071452219. The reversal of 901071452160 is 61254170109.

901071452160 is a `hidden beast` number, since 9 + 0 + 1 + 0 + 71 + 4 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242286781 + ... + 242290499.

It is an arithmetic number, because the mean of its divisors is an integer number (5941026000).

Almost surely, 2^901071452160 is an apocalyptic number.

901071452160 is a gapful number since it is divisible by the number (90) 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 901071452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711015488000).

901071452160 is an abundant number, since it is smaller than the sum of its proper divisors (2520959523840).

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

901071452160 is a wasteful number, since it uses less digits than its factorization.

901071452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 901071452160 in words is "nine hundred one billion, seventy-one million, four hundred fifty-two thousand, one hundred sixty".