1245801513600 has 2688 divisors, whose sum is σ = 5733198766080. Its totient is φ = 261124300800.

The previous prime is 1245801513571. The next prime is 1245801513629. The reversal of 1245801513600 is 63151085421.

1245801513600 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 80 + 1 + 513 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1245801513571) and next prime (1245801513629).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×1245801513600² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 11643004747 + ... + 11643004853.

Almost surely, 2^{1245801513600} is an apocalyptic number.

1245801513600 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 1245801513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866599383040).

1245801513600 is an abundant number, since it is smaller than the sum of its proper divisors (4487397252480).

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

1245801513600 is a wasteful number, since it uses less digits than its factorization.

1245801513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 178 counting only the distinct ones).

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

The spelling of 1245801513600 in words is "one trillion, two hundred forty-five billion, eight hundred one million, five hundred thirteen thousand, six hundred".