854349098486400 has 1920 divisors, whose sum is σ = 3630158690241600. Its totient is φ = 195683475456000.

The previous prime is 854349098486333. The next prime is 854349098486423. The reversal of 854349098486400 is 4684890943458.

854349098486400 is a `hidden beast` number, since 8 + 5 + 4 + 3 + 4 + 90 + 98 + 48 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20206433260 + ... + 20206475540.

Almost surely, 2^{854349098486400} is an apocalyptic number.

854349098486400 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 854349098486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815079345120800).

854349098486400 is an abundant number, since it is smaller than the sum of its proper divisors (2775809591755200).

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

854349098486400 is a wasteful number, since it uses less digits than its factorization.

854349098486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42720 (or 42694 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 854349098486400 in words is "eight hundred fifty-four trillion, three hundred forty-nine billion, ninety-eight million, four hundred eighty-six thousand, four hundred".