10076535883680 has 768 divisors, whose sum is σ = 37314886533120. Its totient is φ = 2238164877312.

The previous prime is 10076535883651. The next prime is 10076535883693. The reversal of 10076535883680 is 8638853567001.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 127 ways as a sum of consecutive naturals, for example, 11676170929 + ... + 11676171791.

It is an arithmetic number, because the mean of its divisors is an integer number (48587091840).

Almost surely, 2^{10076535883680} is an apocalyptic number.

10076535883680 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 10076535883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18657443266560).

10076535883680 is an abundant number, since it is smaller than the sum of its proper divisors (27238350649440).

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

10076535883680 is a wasteful number, since it uses less digits than its factorization.

10076535883680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 10076535883680 in words is "ten trillion, seventy-six billion, five hundred thirty-five million, eight hundred eighty-three thousand, six hundred eighty".