10526714640 has 800 divisors, whose sum is σ = 42347289600. Its totient is φ = 2403717120.

The previous prime is 10526714633. The next prime is 10526714663. The reversal of 10526714640 is 4641762501.

10526714640 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 6 + 7 + 1 + 4 + 640 = 666.

It is a super-2 number, since 2×10526714640² (a number of 21 digits) contains 22 as substring.

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 = 10526714595 and 10526714604.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 75731691 + ... + 75731829.

It is an arithmetic number, because the mean of its divisors is an integer number (52934112).

Almost surely, 2^10526714640 is an apocalyptic number.

10526714640 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 10526714640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21173644800).

10526714640 is an abundant number, since it is smaller than the sum of its proper divisors (31820574960).

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

10526714640 is a wasteful number, since it uses less digits than its factorization.

10526714640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10526714640 in words is "ten billion, five hundred twenty-six million, seven hundred fourteen thousand, six hundred forty".