5261957640 has 320 divisors, whose sum is σ = 18968463360. Its totient is φ = 1303603200.

The previous prime is 5261957633. The next prime is 5261957651. The reversal of 5261957640 is 467591625.

5261957640 is a `hidden beast` number, since 5 + 26 + 19 + 576 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4571065 + ... + 4572215.

It is an arithmetic number, because the mean of its divisors is an integer number (59276448).

Almost surely, 2^5261957640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5261957640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9484231680).

5261957640 is an abundant number, since it is smaller than the sum of its proper divisors (13706505720).

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

5261957640 is a wasteful number, since it uses less digits than its factorization.

5261957640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5261957640 is about 72539.3523544290. The cubic root of 5261957640 is about 1739.3318481030.

The spelling of 5261957640 in words is "five billion, two hundred sixty-one million, nine hundred fifty-seven thousand, six hundred forty".