1000216857024 has 672 divisors, whose sum is σ = 3698388774912. Its totient is φ = 251083929600.

The previous prime is 1000216857023. The next prime is 1000216857083. The reversal of 1000216857024 is 4207586120001.

1000216857024 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 1 + 68 + 570 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1000216857024² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1000216857024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000216857023) 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, 1321290054 + ... + 1321290810.

Almost surely, 2^{1000216857024} is an apocalyptic number.

1000216857024 is a gapful number since it is divisible by the number (14) 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 1000216857024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849194387456).

1000216857024 is an abundant number, since it is smaller than the sum of its proper divisors (2698171917888).

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

1000216857024 is an equidigital number, since it uses as much as digits as its factorization.

1000216857024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1000216857024 in words is "one trillion, two hundred sixteen million, eight hundred fifty-seven thousand, twenty-four".