1036227582720 has 864 divisors, whose sum is σ = 4091183276544. Its totient is φ = 251106324480.

The previous prime is 1036227582659. The next prime is 1036227582757. The reversal of 1036227582720 is 272857226301.

1036227582720 is a `hidden beast` number, since 1 + 0 + 3 + 62 + 2 + 7 + 582 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×1036227582720³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 413992989 + ... + 413995491.

Almost surely, 2^{1036227582720} is an apocalyptic number.

1036227582720 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 1036227582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045591638272).

1036227582720 is an abundant number, since it is smaller than the sum of its proper divisors (3054955693824).

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

1036227582720 is an frugal number, since it uses more digits than its factorization.

1036227582720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1036227582720 in words is "one trillion, thirty-six billion, two hundred twenty-seven million, five hundred eighty-two thousand, seven hundred twenty".