84720960951201 has 45 divisors (see below), whose sum is σ = 126811298567811. Its totient is φ = 56368034016768.

The previous prime is 84720960951199. The next prime is 84720960951227. The reversal of 84720960951201 is 10215906902748.

It is a happy number.

The square root of 84720960951201 is 9204399.

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

84720960951201 is a `hidden beast` number, since 8 + 4 + 7 + 2 + 0 + 9 + 609 + 5 + 1 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66954533630625 + 17766427320576 = 8182575^2 + 4215024^2 .

It is not a de Polignac number, because 84720960951201 - 2¹ = 84720960951199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84720960951251) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 73478716641 + ... + 73478717793.

Almost surely, 2^{84720960951201} is an apocalyptic number.

84720960951201 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

84720960951201 is the 9204399-th square number.

84720960951201 is the 4602200-th centered octagonal number.

It is an amenable number.

84720960951201 is a deficient number, since it is larger than the sum of its proper divisors (42090337616610).

84720960951201 is an frugal number, since it uses more digits than its factorization.

84720960951201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 84720960951201 in words is "eighty-four trillion, seven hundred twenty billion, nine hundred sixty million, nine hundred fifty-one thousand, two hundred one".