1006157297280 has 128 divisors (see below), whose sum is σ = 3247723411200. Its totient is φ = 264912261120.

The previous prime is 1006157297207. The next prime is 1006157297309. The reversal of 1006157297280 is 827927516001.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

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, 3165031 + ... + 3468390.

It is an arithmetic number, because the mean of its divisors is an integer number (25372839150).

Almost surely, 2^{1006157297280} is an apocalyptic number.

1006157297280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006157297280 is an abundant number, since it is smaller than the sum of its proper divisors (2241566113920).

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

1006157297280 is an equidigital number, since it uses as much as digits as its factorization.

1006157297280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6633522 (or 6633510 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 1006157297280 in words is "one trillion, six billion, one hundred fifty-seven million, two hundred ninety-seven thousand, two hundred eighty".