1020254435200 has 768 divisors, whose sum is σ = 3400972323840. Its totient is φ = 292066099200.

The previous prime is 1020254435111. The next prime is 1020254435219. The reversal of 1020254435200 is 25344520201.

It is a super-2 number, since 2×1020254435200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 746344917 + ... + 746346283.

It is an arithmetic number, because the mean of its divisors is an integer number (4428349380).

Almost surely, 2^{1020254435200} is an apocalyptic number.

1020254435200 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 1020254435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700486161920).

1020254435200 is an abundant number, since it is smaller than the sum of its proper divisors (2380717888640).

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

1020254435200 is a wasteful number, since it uses less digits than its factorization.

1020254435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 1020254435200 its reverse (25344520201), we get a palindrome (1045598955401).

The spelling of 1020254435200 in words is "one trillion, twenty billion, two hundred fifty-four million, four hundred thirty-five thousand, two hundred".