1036381547520 has 1056 divisors, whose sum is σ = 4163925782016. Its totient is φ = 244983398400.

The previous prime is 1036381547491. The next prime is 1036381547549. The reversal of 1036381547520 is 257451836301.

It is a happy number.

1036381547520 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 3 + 81 + 5 + 47 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (1036381547491) and next prime (1036381547549).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×1036381547520³ (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 561115237 + ... + 561117083.

It is an arithmetic number, because the mean of its divisors is an integer number (3943111536).

Almost surely, 2^{1036381547520} is an apocalyptic number.

1036381547520 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 1036381547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081962891008).

1036381547520 is an abundant number, since it is smaller than the sum of its proper divisors (3127544234496).

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

1036381547520 is a wasteful number, since it uses less digits than its factorization.

1036381547520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1036381547520 in words is "one trillion, thirty-six billion, three hundred eighty-one million, five hundred forty-seven thousand, five hundred twenty".