10070835840 has 512 divisors, whose sum is σ = 38823321600. Its totient is φ = 2452488192.

The previous prime is 10070835823. The next prime is 10070835857. The reversal of 10070835840 is 4853807001.

10070835840 is a `hidden beast` number, since 1 + 0 + 0 + 70 + 8 + 3 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10070835823) and next prime (10070835857).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10070835795 and 10070835804.

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, 28529104 + ... + 28529456.

It is an arithmetic number, because the mean of its divisors is an integer number (75826800).

Almost surely, 2^10070835840 is an apocalyptic number.

10070835840 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 10070835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19411660800).

10070835840 is an abundant number, since it is smaller than the sum of its proper divisors (28752485760).

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

10070835840 is a wasteful number, since it uses less digits than its factorization.

10070835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10070835840 in words is "ten billion, seventy million, eight hundred thirty-five thousand, eight hundred forty".