1071007672720 has 80 divisors (see below), whose sum is σ = 2621506320000. Its totient is φ = 405800423424.

The previous prime is 1071007672717. The next prime is 1071007672751. The reversal of 1071007672720 is 272767001701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1071007672720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 12175456 + ... + 12263104.

It is an arithmetic number, because the mean of its divisors is an integer number (32768829000).

Almost surely, 2^{1071007672720} is an apocalyptic number.

1071007672720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1071007672720 is an abundant number, since it is smaller than the sum of its proper divisors (1550498647280).

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

1071007672720 is a wasteful number, since it uses less digits than its factorization.

1071007672720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95720 (or 95714 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 40.

The spelling of 1071007672720 in words is "one trillion, seventy-one billion, seven million, six hundred seventy-two thousand, seven hundred twenty".