1045101657600 has 4800 divisors, whose sum is σ = 5569878504960. Its totient is φ = 186325401600.

The previous prime is 1045101657583. The next prime is 1045101657617. The reversal of 1045101657600 is 67561015401.

It is a happy number.

1045101657600 is a `hidden beast` number, since 1 + 0 + 45 + 1 + 0 + 1 + 6 + 5 + 7 + 600 = 666.

1045101657600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1045101657583) and next prime (1045101657617).

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 19718899174 + ... + 19718899226.

Almost surely, 2^{1045101657600} is an apocalyptic number.

1045101657600 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 1045101657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784939252480).

1045101657600 is an abundant number, since it is smaller than the sum of its proper divisors (4524776847360).

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

1045101657600 is a wasteful number, since it uses less digits than its factorization.

1045101657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 1045101657600 in words is "one trillion, forty-five billion, one hundred one million, six hundred fifty-seven thousand, six hundred".