84901128261120 has 480 divisors, whose sum is σ = 314088070282272. Its totient is φ = 21119936495616.

The previous prime is 84901128261091. The next prime is 84901128261133. The reversal of 84901128261120 is 2116282110948.

84901128261120 is a `hidden beast` number, since 8 + 4 + 9 + 0 + 1 + 1 + 2 + 8 + 2 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×84901128261120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43300719 + ... + 45218961.

Almost surely, 2^{84901128261120} is an apocalyptic number.

84901128261120 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 84901128261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157044035141136).

84901128261120 is an abundant number, since it is smaller than the sum of its proper divisors (229186942021152).

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

84901128261120 is a wasteful number, since it uses less digits than its factorization.

84901128261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918402 (or 1918383 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 84901128261120 in words is "eighty-four trillion, nine hundred one billion, one hundred twenty-eight million, two hundred sixty-one thousand, one hundred twenty".