1007097077220 has 192 divisors, whose sum is σ = 3083530894080. Its totient is φ = 244088266752.

The previous prime is 1007097077191. The next prime is 1007097077237. The reversal of 1007097077220 is 227707907001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196965384 + ... + 196970496.

It is an arithmetic number, because the mean of its divisors is an integer number (16060056740).

Almost surely, 2^{1007097077220} is an apocalyptic number.

1007097077220 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 1007097077220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541765447040).

1007097077220 is an abundant number, since it is smaller than the sum of its proper divisors (2076433816860).

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

1007097077220 is a wasteful number, since it uses less digits than its factorization.

1007097077220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8974 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 86436, while the sum is 42.

The spelling of 1007097077220 in words is "one trillion, seven billion, ninety-seven million, seventy-seven thousand, two hundred twenty".