1016571072000 has 640 divisors, whose sum is σ = 3709080460800. Its totient is φ = 244973568000.

The previous prime is 1016571071981. The next prime is 1016571072073. The reversal of 1016571072000 is 2701756101.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 378046656 + ... + 378049344.

It is an arithmetic number, because the mean of its divisors is an integer number (5795438220).

Almost surely, 2^{1016571072000} is an apocalyptic number.

1016571072000 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 1016571072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854540230400).

1016571072000 is an abundant number, since it is smaller than the sum of its proper divisors (2692509388800).

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

1016571072000 is a wasteful number, since it uses less digits than its factorization.

1016571072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The spelling of 1016571072000 in words is "one trillion, sixteen billion, five hundred seventy-one million, seventy-two thousand".