68880527401 has 9 divisors (see below), whose sum is σ = 80128464951. Its totient is φ = 59038877352.

The previous prime is 68880527363. The next prime is 68880527411. The reversal of 68880527401 is 10472508886.

The square root of 68880527401 is 262451.

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

It can be written as a sum of positive squares in only one way, i.e., 16382720025 + 52497807376 = 127995^2 + 229124^2 .

It is not a de Polignac number, because 68880527401 - 2²¹ = 68878430249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68880527411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1818411 + ... + 1855903.

Almost surely, 2^68880527401 is an apocalyptic number.

68880527401 is the 262451-st square number.

68880527401 is the 131226-th centered octagonal number.

It is an amenable number.

68880527401 is a deficient number, since it is larger than the sum of its proper divisors (11247937550).

68880527401 is an frugal number, since it uses more digits than its factorization.

68880527401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75000 (or 37500 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 49.

Multiplying 68880527401 by its sum of digits (49), we get a square (3375145842649 = 1837157²).

68880527401 divided by its sum of digits (49) gives a square (1405725049 = 37493²).

The spelling of 68880527401 in words is "sixty-eight billion, eight hundred eighty million, five hundred twenty-seven thousand, four hundred one".