10077056742432 has 96 divisors (see below), whose sum is σ = 26900860371840. Its totient is φ = 3302351493120.

The previous prime is 10077056742421. The next prime is 10077056742433. The reversal of 10077056742432 is 23424765077001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10077056742433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132307 + ... + 4491282.

It is an arithmetic number, because the mean of its divisors is an integer number (280217295540).

Almost surely, 2^{10077056742432} is an apocalyptic number.

10077056742432 is a gapful number since it is divisible by the number (12) 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 10077056742432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13450430185920).

10077056742432 is an abundant number, since it is smaller than the sum of its proper divisors (16823803629408).

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

10077056742432 is a wasteful number, since it uses less digits than its factorization.

10077056742432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623986 (or 4623978 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 10077056742432 in words is "ten trillion, seventy-seven billion, fifty-six million, seven hundred forty-two thousand, four hundred thirty-two".