1074987417800 has 96 divisors (see below), whose sum is σ = 2512328653800. Its totient is φ = 427764480000.

The previous prime is 1074987417797. The next prime is 1074987417859. The reversal of 1074987417800 is 87147894701.

It can be written as a sum of positive squares in 12 ways, for example, as 25506006436 + 1049481411364 = 159706^2 + 1024442^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59576780 + ... + 59594820.

Almost surely, 2^{1074987417800} is an apocalyptic number.

1074987417800 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 1074987417800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256164326900).

1074987417800 is an abundant number, since it is smaller than the sum of its proper divisors (1437341236000).

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

1074987417800 is a wasteful number, since it uses less digits than its factorization.

1074987417800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19587 (or 19578 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 56.

Adding to 1074987417800 its sum of digits (56), we get a square (1074987417856 = 1036816²).

The spelling of 1074987417800 in words is "one trillion, seventy-four billion, nine hundred eighty-seven million, four hundred seventeen thousand, eight hundred".