1052435116200 has 192 divisors, whose sum is σ = 3561646415040. Its totient is φ = 255512033280.

The previous prime is 1052435116079. The next prime is 1052435116211. The reversal of 1052435116200 is 26115342501.

It is a super-2 number, since 2×1052435116200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 354762 + ... + 1493561.

It is an arithmetic number, because the mean of its divisors is an integer number (18550241745).

Almost surely, 2^{1052435116200} is an apocalyptic number.

1052435116200 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 1052435116200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780823207520).

1052435116200 is an abundant number, since it is smaller than the sum of its proper divisors (2509211298840).

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

1052435116200 is a wasteful number, since it uses less digits than its factorization.

1052435116200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848428 (or 1848419 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 1052435116200 in words is "one trillion, fifty-two billion, four hundred thirty-five million, one hundred sixteen thousand, two hundred".