1020020514000 has 640 divisors, whose sum is σ = 3559112773632. Its totient is φ = 250647091200.

The previous prime is 1020020513929. The next prime is 1020020514001. The reversal of 1020020514000 is 4150200201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020020514001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 546341067 + ... + 546342933.

Almost surely, 2^{1020020514000} is an apocalyptic number.

1020020514000 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 1020020514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779556386816).

1020020514000 is an abundant number, since it is smaller than the sum of its proper divisors (2539092259632).

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

1020020514000 is a wasteful number, since it uses less digits than its factorization.

1020020514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 1020020514000 its reverse (4150200201), we get a palindrome (1024170714201).

The spelling of 1020020514000 in words is "one trillion, twenty billion, twenty million, five hundred fourteen thousand".