65002090982400 has 4224 divisors, whose sum is σ = 297082565498880. Its totient is φ = 13874076057600.

The previous prime is 65002090982299. The next prime is 65002090982449. The reversal of 65002090982400 is 428909020056.

65002090982400 is a `hidden beast` number, since 6 + 50 + 0 + 20 + 90 + 98 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 184141900624 + ... + 184141900976.

Almost surely, 2^{65002090982400} is an apocalyptic number.

65002090982400 is a gapful number since it is divisible by the number (60) 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 65002090982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148541282749440).

65002090982400 is an abundant number, since it is smaller than the sum of its proper divisors (232080474516480).

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

65002090982400 is a wasteful number, since it uses less digits than its factorization.

65002090982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 65002090982400 in words is "sixty-five trillion, two billion, ninety million, nine hundred eighty-two thousand, four hundred".