84455135170560 has 8320 divisors, whose sum is σ = 443916238233600. Its totient is φ = 14799014461440.

The previous prime is 84455135170547. The next prime is 84455135170573. The reversal of 84455135170560 is 6507153155448.

84455135170560 is a `hidden beast` number, since 8 + 4 + 4 + 5 + 5 + 1 + 3 + 5 + 1 + 70 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (84455135170547) and next prime (84455135170573).

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

It is a junction number, because it is equal to n+sod(n) for n = 84455135170497 and 84455135170506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 948934102996 + ... + 948934103084.

Almost surely, 2^{84455135170560} is an apocalyptic number.

84455135170560 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 84455135170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221958119116800).

84455135170560 is an abundant number, since it is smaller than the sum of its proper divisors (359461103063040).

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

84455135170560 is a wasteful number, since it uses less digits than its factorization.

84455135170560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 84455135170560 in words is "eighty-four trillion, four hundred fifty-five billion, one hundred thirty-five million, one hundred seventy thousand, five hundred sixty".