1061562028800 has 2592 divisors, whose sum is σ = 4714631369280. Its totient is φ = 208089907200.

The previous prime is 1061562028783. The next prime is 1061562028819. The reversal of 1061562028800 is 88202651601.

It is a super-2 number, since 2×1061562028800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14541945564 + ... + 14541945636.

Almost surely, 2^{1061562028800} is an apocalyptic number.

1061562028800 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 1061562028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357315684640).

1061562028800 is an abundant number, since it is smaller than the sum of its proper divisors (3653069340480).

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

1061562028800 is a wasteful number, since it uses less digits than its factorization.

1061562028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 1061562028800 in words is "one trillion, sixty-one billion, five hundred sixty-two million, twenty-eight thousand, eight hundred".