70542828801 has 33 divisors (see below), whose sum is σ = 105910544739. Its totient is φ = 46985525496.

The previous prime is 70542828787. The next prime is 70542828803. The reversal of 70542828801 is 10882824507.

It is a happy number.

The square root of 70542828801 is 265599.

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

70542828801 is a `hidden beast` number, since 7 + 0 + 542 + 8 + 28 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69513959025 + 1028869776 = 263655^2 + 32076^2 .

It is not a de Polignac number, because 70542828801 - 2¹⁵ = 70542796033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (70542828803) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 64540011 + ... + 64541103.

Almost surely, 2^70542828801 is an apocalyptic number.

70542828801 is the 265599-th square number.

70542828801 is the 132800-th centered octagonal number.

It is an amenable number.

70542828801 is a deficient number, since it is larger than the sum of its proper divisors (35367715938).

70542828801 is an frugal number, since it uses more digits than its factorization.

70542828801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 70542828801 in words is "seventy billion, five hundred forty-two million, eight hundred twenty-eight thousand, eight hundred one".