58490015040000 has 900 divisors, whose sum is σ = 223552932995106. Its totient is φ = 14666416128000.

The previous prime is 58490015039999. The next prime is 58490015040007. The reversal of 58490015040000 is 4051009485.

It can be written as a sum of positive squares in 15 ways, for example, as 1068295885056 + 57421719154944 = 1033584^2 + 7577712^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58490015040007) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 53513279454 + ... + 53513280546.

Almost surely, 2^{58490015040000} is an apocalyptic number.

58490015040000 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 58490015040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111776466497553).

58490015040000 is an abundant number, since it is smaller than the sum of its proper divisors (165062917955106).

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

58490015040000 is an frugal number, since it uses more digits than its factorization.

58490015040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 58490015040000 its reverse (4051009485), we get a palindrome (58494066049485).

The spelling of 58490015040000 in words is "fifty-eight trillion, four hundred ninety billion, fifteen million, forty thousand".