1036287737856 has 756 divisors, whose sum is σ = 3654981871632. Its totient is φ = 292514955264.

The previous prime is 1036287737843. The next prime is 1036287737911. The reversal of 1036287737856 is 6587377826301.

1036287737856 is a `hidden beast` number, since 10 + 362 + 87 + 73 + 78 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-3 number, since 3×1036287737856³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1036287737793 and 1036287737802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12485394391 + ... + 12485394473.

Almost surely, 2^{1036287737856} is an apocalyptic number.

1036287737856 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 1036287737856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827490935816).

1036287737856 is an abundant number, since it is smaller than the sum of its proper divisors (2618694133776).

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

1036287737856 is an frugal number, since it uses more digits than its factorization.

1036287737856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 1036287737856 in words is "one trillion, thirty-six billion, two hundred eighty-seven million, seven hundred thirty-seven thousand, eight hundred fifty-six".