1001187556800 has 336 divisors, whose sum is σ = 3398338778112. Its totient is φ = 257788108800.

The previous prime is 1001187556711. The next prime is 1001187556861. The reversal of 1001187556800 is 86557811001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67994239 + ... + 68008961.

Almost surely, 2^{1001187556800} is an apocalyptic number.

1001187556800 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 1001187556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699169389056).

1001187556800 is an abundant number, since it is smaller than the sum of its proper divisors (2397151221312).

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

1001187556800 is a wasteful number, since it uses less digits than its factorization.

1001187556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15236 (or 15221 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 42.

The spelling of 1001187556800 in words is "one trillion, one billion, one hundred eighty-seven million, five hundred fifty-six thousand, eight hundred".