42762575276100 has 405 divisors, whose sum is σ = 140074796444583. Its totient is φ = 11284861109760.

The previous prime is 42762575276021. The next prime is 42762575276173. The reversal of 42762575276100 is 167257526724.

The square root of 42762575276100 is 6539310.

It is a perfect power (a square), and thus also a powerful number.

42762575276100 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 2 + 5 + 7 + 527 + 6 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21755899719684 + 21006675556416 = 4664322^2 + 4583304^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 66504782379 + ... + 66504783021.

Almost surely, 2^{42762575276100} is an apocalyptic number.

42762575276100 is the 6539310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42762575276100

42762575276100 is an abundant number, since it is smaller than the sum of its proper divisors (97312221168483).

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

42762575276100 is an equidigital number, since it uses as much as digits as its factorization.

42762575276100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 42762575276100 in words is "forty-two trillion, seven hundred sixty-two billion, five hundred seventy-five million, two hundred seventy-six thousand, one hundred".