84355152710400 has 6480 divisors, whose sum is σ = 394703841337344. Its totient is φ = 17627258880000.

The previous prime is 84355152710321. The next prime is 84355152710419. The reversal of 84355152710400 is 401725155348.

84355152710400 is a `hidden beast` number, since 8 + 4 + 3 + 5 + 515 + 27 + 104 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

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 719 ways as a sum of consecutive naturals, for example, 1188100742365 + ... + 1188100742435.

Almost surely, 2^{84355152710400} is an apocalyptic number.

84355152710400 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 84355152710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197351920668672).

84355152710400 is an abundant number, since it is smaller than the sum of its proper divisors (310348688626944).

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

84355152710400 is a wasteful number, since it uses less digits than its factorization.

84355152710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

Adding to 84355152710400 its reverse (401725155348), we get a palindrome (84756877865748).

The spelling of 84355152710400 in words is "eighty-four trillion, three hundred fifty-five billion, one hundred fifty-two million, seven hundred ten thousand, four hundred".