1035621315360 has 576 divisors, whose sum is σ = 3767206060800. Its totient is φ = 258574934016.

The previous prime is 1035621315359. The next prime is 1035621315373. The reversal of 1035621315360 is 635131265301.

1035621315360 is a `hidden beast` number, since 1 + 0 + 3 + 562 + 1 + 31 + 5 + 3 + 60 = 666.

It is a super-3 number, since 3×1035621315360³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 554697147 + ... + 554699013.

It is an arithmetic number, because the mean of its divisors is an integer number (6540288300).

Almost surely, 2^{1035621315360} is an apocalyptic number.

1035621315360 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 1035621315360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883603030400).

1035621315360 is an abundant number, since it is smaller than the sum of its proper divisors (2731584745440).

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

1035621315360 is a wasteful number, since it uses less digits than its factorization.

1035621315360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 1035621315360 in words is "one trillion, thirty-five billion, six hundred twenty-one million, three hundred fifteen thousand, three hundred sixty".