69042155124096 has 512 divisors, whose sum is σ = 254657958912000. Its totient is φ = 17890198824960.

The previous prime is 69042155124079. The next prime is 69042155124157.

It is a happy number.

69042155124096 is a `hidden beast` number, since 6 + 9 + 0 + 4 + 215 + 5 + 12 + 409 + 6 = 666.

69042155124096 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111191325 + ... + 111810531.

It is an arithmetic number, because the mean of its divisors is an integer number (497378826000).

Almost surely, 2^{69042155124096} is an apocalyptic number.

69042155124096 is a gapful number since it is divisible by the number (66) 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 69042155124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127328979456000).

69042155124096 is an abundant number, since it is smaller than the sum of its proper divisors (185615803787904).

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

69042155124096 is a wasteful number, since it uses less digits than its factorization.

69042155124096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619667 (or 619649 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 69042155124096 in words is "sixty-nine trillion, forty-two billion, one hundred fifty-five million, one hundred twenty-four thousand, ninety-six".