1020542556096 has 1680 divisors, whose sum is σ = 3884875948800. Its totient is φ = 263363788800.

The previous prime is 1020542556079. The next prime is 1020542556113. The reversal of 1020542556096 is 6906552450201.

1020542556096 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 4 + 2 + 556 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1020542556079) and next prime (1020542556113).

It is a super-2 number, since 2×1020542556096² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9362775690 + ... + 9362775798.

It is an arithmetic number, because the mean of its divisors is an integer number (2312426160).

Almost surely, 2^{1020542556096} is an apocalyptic number.

1020542556096 is a gapful number since it is divisible by the number (16) 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 1020542556096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942437974400).

1020542556096 is an abundant number, since it is smaller than the sum of its proper divisors (2864333392704).

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

1020542556096 is a wasteful number, since it uses less digits than its factorization.

1020542556096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1020542556096 in words is "one trillion, twenty billion, five hundred forty-two million, five hundred fifty-six thousand, ninety-six".