1002265473600 has 1008 divisors, whose sum is σ = 3946669272000. Its totient is φ = 240216883200.

The previous prime is 1002265473577. The next prime is 1002265473611. The reversal of 1002265473600 is 63745622001.

1002265473600 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 6 + 5 + 47 + 3 + 600 = 666.

1002265473600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 468128530 + ... + 468130670.

It is an arithmetic number, because the mean of its divisors is an integer number (3915346500).

Almost surely, 2^{1002265473600} is an apocalyptic number.

1002265473600 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 1002265473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973334636000).

1002265473600 is an abundant number, since it is smaller than the sum of its proper divisors (2944403798400).

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

1002265473600 is a wasteful number, since it uses less digits than its factorization.

1002265473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1002265473600 in words is "one trillion, two billion, two hundred sixty-five million, four hundred seventy-three thousand, six hundred".