1029900616672 has 96 divisors (see below), whose sum is σ = 2222266687200. Its totient is φ = 467662798848.

The previous prime is 1029900616669. The next prime is 1029900616751. The reversal of 1029900616672 is 2766160099201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27163104 + ... + 27200992.

It is an arithmetic number, because the mean of its divisors is an integer number (23148611325).

Almost surely, 2^{1029900616672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029900616672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111133343600).

1029900616672 is an abundant number, since it is smaller than the sum of its proper divisors (1192366070528).

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

1029900616672 is a wasteful number, since it uses less digits than its factorization.

1029900616672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39668 (or 39660 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The spelling of 1029900616672 in words is "one trillion, twenty-nine billion, nine hundred million, six hundred sixteen thousand, six hundred seventy-two".