58372640759601 has 135 divisors (see below), whose sum is σ = 102170617272273. Its totient is φ = 33115678545600.

The previous prime is 58372640759579. The next prime is 58372640759603. The reversal of 58372640759601 is 10695704627385.

The square root of 58372640759601 is 7640199.

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

58372640759601 is a `hidden beast` number, since 5 + 8 + 37 + 2 + 6 + 4 + 0 + 7 + 596 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34991779698225 + 23380861061376 = 5915385^2 + 4835376^2 .

It is not a de Polignac number, because 58372640759601 - 2¹⁹ = 58372640235313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (58372640759603) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 83270528551 + ... + 83270529251.

It is a 1-persistent number, because it is pandigital, but 2⋅58372640759601 = 116745281519202 is not.

Almost surely, 2^{58372640759601} is an apocalyptic number.

58372640759601 is the 7640199-th square number.

58372640759601 is the 3820100-th centered octagonal number.

It is an amenable number.

58372640759601 is a deficient number, since it is larger than the sum of its proper divisors (43797976512672).

58372640759601 is an frugal number, since it uses more digits than its factorization.

58372640759601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 58372640759601 in words is "fifty-eight trillion, three hundred seventy-two billion, six hundred forty million, seven hundred fifty-nine thousand, six hundred one".