1007705156880 has 160 divisors (see below), whose sum is σ = 3293855072640. Its totient is φ = 254148157440.

The previous prime is 1007705156813. The next prime is 1007705156989. The reversal of 1007705156880 is 886515077001.

It is a super-2 number, since 2×1007705156880² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2517750 + ... + 2890410.

It is an arithmetic number, because the mean of its divisors is an integer number (20586594204).

Almost surely, 2^{1007705156880} is an apocalyptic number.

1007705156880 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 1007705156880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646927536320).

1007705156880 is an abundant number, since it is smaller than the sum of its proper divisors (2286149915760).

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

1007705156880 is a wasteful number, since it uses less digits than its factorization.

1007705156880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373289 (or 373283 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 48.

The spelling of 1007705156880 in words is "one trillion, seven billion, seven hundred five million, one hundred fifty-six thousand, eight hundred eighty".