1070807137488 has 240 divisors, whose sum is σ = 3289926931200. Its totient is φ = 322436459520.

The previous prime is 1070807137483. The next prime is 1070807137493. The reversal of 1070807137488 is 8847317080701.

1070807137488 is a `hidden beast` number, since 1 + 0 + 70 + 80 + 7 + 13 + 7 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (1070807137483) and next prime (1070807137493).

It is a super-2 number, since 2×1070807137488² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070807137483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192692406 + ... + 192697962.

It is an arithmetic number, because the mean of its divisors is an integer number (13708028880).

Almost surely, 2^{1070807137488} is an apocalyptic number.

1070807137488 is a gapful number since it is divisible by the number (18) 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 1070807137488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644963465600).

1070807137488 is an abundant number, since it is smaller than the sum of its proper divisors (2219119793712).

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

1070807137488 is a wasteful number, since it uses less digits than its factorization.

1070807137488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6330 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 1070807137488 in words is "one trillion, seventy billion, eight hundred seven million, one hundred thirty-seven thousand, four hundred eighty-eight".