84121092740160 has 672 divisors, whose sum is σ = 332039912016384. Its totient is φ = 19148451840000.

The previous prime is 84121092740119. The next prime is 84121092740161. The reversal of 84121092740160 is 6104729012148.

84121092740160 is a `hidden beast` number, since 8 + 4 + 1 + 210 + 9 + 27 + 401 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (84121092740161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14451310050 + ... + 14451315870.

Almost surely, 2^{84121092740160} is an apocalyptic number.

84121092740160 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 84121092740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166019956008192).

84121092740160 is an abundant number, since it is smaller than the sum of its proper divisors (247918819276224).

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

84121092740160 is a wasteful number, since it uses less digits than its factorization.

84121092740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8683 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 84121092740160 in words is "eighty-four trillion, one hundred twenty-one billion, ninety-two million, seven hundred forty thousand, one hundred sixty".