1007158374750 has 128 divisors (see below), whose sum is σ = 2775443553792. Its totient is φ = 241217760000.

The previous prime is 1007158374697. The next prime is 1007158374751. The reversal of 1007158374750 is 574738517001.

It is a super-2 number, since 2×1007158374750² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1007158374750.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007158374751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50671 + ... + 1420170.

It is an arithmetic number, because the mean of its divisors is an integer number (21683152764).

Almost surely, 2^{1007158374750} is an apocalyptic number.

1007158374750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007158374750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387721776896).

1007158374750 is an abundant number, since it is smaller than the sum of its proper divisors (1768285179042).

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

1007158374750 is a wasteful number, since it uses less digits than its factorization.

1007158374750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470955 (or 1470945 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 48.

The spelling of 1007158374750 in words is "one trillion, seven billion, one hundred fifty-eight million, three hundred seventy-four thousand, seven hundred fifty".