83277734904000 has 3136 divisors, whose sum is σ = 390949592447232. Its totient is φ = 17091772416000.

The previous prime is 83277734903999. The next prime is 83277734904019. The reversal of 83277734904000 is 40943777238.

83277734904000 is a `hidden beast` number, since 83 + 2 + 7 + 7 + 73 + 4 + 90 + 400 + 0 = 666.

It is a super-2 number, since 2×83277734904000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 19636341880 + ... + 19636346120.

It is an arithmetic number, because the mean of its divisors is an integer number (124665048612).

Almost surely, 2^{83277734904000} is an apocalyptic number.

83277734904000 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 83277734904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195474796223616).

83277734904000 is an abundant number, since it is smaller than the sum of its proper divisors (307671857543232).

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

83277734904000 is a wasteful number, since it uses less digits than its factorization.

83277734904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 83277734904000 in words is "eighty-three trillion, two hundred seventy-seven billion, seven hundred thirty-four million, nine hundred four thousand".