58220149161600 has 672 divisors, whose sum is σ = 223070224740300. Its totient is φ = 14989997998080.

The previous prime is 58220149161589. The next prime is 58220149161611. The reversal of 58220149161600 is 616194102285.

58220149161600 is a `hidden beast` number, since 5 + 8 + 2 + 20 + 1 + 4 + 9 + 1 + 616 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58220149161589) and next prime (58220149161611).

It can be written as a sum of positive squares in 6 ways, for example, as 20856466004544 + 37363683157056 = 4566888^2 + 6112584^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 67220904 + ... + 68081496.

Almost surely, 2^{58220149161600} is an apocalyptic number.

58220149161600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58220149161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111535112370150).

58220149161600 is an abundant number, since it is smaller than the sum of its proper divisors (164850075578700).

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

58220149161600 is an equidigital number, since it uses as much as digits as its factorization.

58220149161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860664 (or 860632 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 58220149161600 in words is "fifty-eight trillion, two hundred twenty billion, one hundred forty-nine million, one hundred sixty-one thousand, six hundred".