1020156633600 has 960 divisors, whose sum is σ = 3887151206400. Its totient is φ = 233738403840.

The previous prime is 1020156633577. The next prime is 1020156633649. The reversal of 1020156633600 is 63366510201.

It is a tau number, because it is divible by the number of its divisors (960).

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, 559602289 + ... + 559604111.

It is an arithmetic number, because the mean of its divisors is an integer number (4049115840).

Almost surely, 2^{1020156633600} is an apocalyptic number.

1020156633600 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 1020156633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943575603200).

1020156633600 is an abundant number, since it is smaller than the sum of its proper divisors (2866994572800).

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

1020156633600 is a wasteful number, since it uses less digits than its factorization.

1020156633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 1020156633600 in words is "one trillion, twenty billion, one hundred fifty-six million, six hundred thirty-three thousand, six hundred".