1742060879100 has 288 divisors, whose sum is σ = 5783261792000. Its totient is φ = 449580015360.

The previous prime is 1742060879077. The next prime is 1742060879147. The reversal of 1742060879100 is 19780602471.

It is a happy number.

1742060879100 is a `hidden beast` number, since 1 + 7 + 4 + 20 + 608 + 7 + 9 + 10 + 0 = 666.

It is a super-2 number, since 2×1742060879100² (a number of 25 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 95 ways as a sum of consecutive naturals, for example, 12586071 + ... + 12723729.

Almost surely, 2^{1742060879100} is an apocalyptic number.

1742060879100 is a gapful number since it is divisible by the number (10) 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 1742060879100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891630896000).

1742060879100 is an abundant number, since it is smaller than the sum of its proper divisors (4041200912900).

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

1742060879100 is a wasteful number, since it uses less digits than its factorization.

1742060879100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137834 (or 137821 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1742060879100 in words is "one trillion, seven hundred forty-two billion, sixty million, eight hundred seventy-nine thousand, one hundred".