1301290887600 has 1200 divisors, whose sum is σ = 5418073194336. Its totient is φ = 295612416000.

The previous prime is 1301290887563. The next prime is 1301290887607. The reversal of 1301290887600 is 67880921031.

1301290887600 is a `hidden beast` number, since 1 + 30 + 1 + 2 + 9 + 0 + 8 + 8 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 (1301290887607) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2405343330 + ... + 2405343870.

Almost surely, 2^{1301290887600} is an apocalyptic number.

1301290887600 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 1301290887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709036597168).

1301290887600 is an abundant number, since it is smaller than the sum of its proper divisors (4116782306736).

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

1301290887600 is a wasteful number, since it uses less digits than its factorization.

1301290887600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1301290887600 in words is "one trillion, three hundred one billion, two hundred ninety million, eight hundred eighty-seven thousand, six hundred".