1060857487200 has 432 divisors, whose sum is σ = 4253155061904. Its totient is φ = 228217651200.

The previous prime is 1060857487199. The next prime is 1060857487279. The reversal of 1060857487200 is 27847580601.

It is a super-2 number, since 2×1060857487200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1060857487200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1733880 + ... + 2264520.

It is an arithmetic number, because the mean of its divisors is an integer number (9845266347).

Almost surely, 2^{1060857487200} is an apocalyptic number.

1060857487200 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 1060857487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126577530952).

1060857487200 is an abundant number, since it is smaller than the sum of its proper divisors (3192297574704).

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

1060857487200 is a wasteful number, since it uses less digits than its factorization.

1060857487200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530695 (or 530675 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 1060857487200 in words is "one trillion, sixty billion, eight hundred fifty-seven million, four hundred eighty-seven thousand, two hundred".