10458691261200 has 3600 divisors, whose sum is σ = 50107808520000. Its totient is φ = 2064897515520.

The previous prime is 10458691261157. The next prime is 10458691261211. The reversal of 10458691261200 is 216219685401.

10458691261200 is a `hidden beast` number, since 1 + 0 + 4 + 586 + 9 + 1 + 2 + 61 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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 719 ways as a sum of consecutive naturals, for example, 58428442711 + ... + 58428442889.

It is an arithmetic number, because the mean of its divisors is an integer number (13918835700).

Almost surely, 2^{10458691261200} is an apocalyptic number.

10458691261200 is a gapful number since it is divisible by the number (10) 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 10458691261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25053904260000).

10458691261200 is an abundant number, since it is smaller than the sum of its proper divisors (39649117258800).

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

10458691261200 is a wasteful number, since it uses less digits than its factorization.

10458691261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 377 counting only the distinct ones).

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

The spelling of 10458691261200 in words is "ten trillion, four hundred fifty-eight billion, six hundred ninety-one million, two hundred sixty-one thousand, two hundred".