84913377200 has 240 divisors, whose sum is σ = 216194924544. Its totient is φ = 32001868800.

The previous prime is 84913377191. The next prime is 84913377203. The reversal of 84913377200 is 277331948.

It is a Cunningham number, because it is equal to 291399²-1.

It is not an unprimeable number, because it can be changed into a prime (84913377203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213887402 + ... + 213887798.

Almost surely, 2^84913377200 is an apocalyptic number.

84913377200 is a gapful number since it is divisible by the number (80) 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 84913377200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108097462272).

84913377200 is an abundant number, since it is smaller than the sum of its proper divisors (131281547344).

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

84913377200 is a wasteful number, since it uses less digits than its factorization.

With its successor (84913377201) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (849).

84913377200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 84913377200 in words is "eighty-four billion, nine hundred thirteen million, three hundred seventy-seven thousand, two hundred".