95265253440 has 784 divisors, whose sum is σ = 391940076672. Its totient is φ = 21594636288.

The previous prime is 95265253439. The next prime is 95265253441. The reversal of 95265253440 is 4435256259.

95265253440 is a `hidden beast` number, since 9 + 5 + 26 + 52 + 534 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (95265253439) and next prime (95265253441).

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

It is not an unprimeable number, because it can be changed into a prime (95265253441) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 370681792 + ... + 370682048.

Almost surely, 2^95265253440 is an apocalyptic number.

95265253440 is a gapful number since it is divisible by the number (90) 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 95265253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195970038336).

95265253440 is an abundant number, since it is smaller than the sum of its proper divisors (296674823232).

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

95265253440 is a wasteful number, since it uses less digits than its factorization.

95265253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 95265253440 in words is "ninety-five billion, two hundred sixty-five million, two hundred fifty-three thousand, four hundred forty".