59980910400000 has 1920 divisors, whose sum is σ = 228894387321600. Its totient is φ = 15501312000000.

The previous prime is 59980910399957. The next prime is 59980910400001. The reversal of 59980910400000 is 401908995.

59980910400000 is a `hidden beast` number, since 599 + 8 + 0 + 9 + 10 + 40 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×59980910400000² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (59980910400001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 257428799884 + ... + 257428800116.

It is an arithmetic number, because the mean of its divisors is an integer number (119215826730).

Almost surely, 2^{59980910400000} is an apocalyptic number.

59980910400000 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 59980910400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114447193660800).

59980910400000 is an abundant number, since it is smaller than the sum of its proper divisors (168913476921600).

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

59980910400000 is an equidigital number, since it uses as much as digits as its factorization.

59980910400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 59980910400000 in words is "fifty-nine trillion, nine hundred eighty billion, nine hundred ten million, four hundred thousand".