95263033400640 has 896 divisors, whose sum is σ = 396653162496000. Its totient is φ = 21062056181760.

The previous prime is 95263033400621. The next prime is 95263033400707. The reversal of 95263033400640 is 4600433036259.

95263033400640 is a `hidden beast` number, since 9 + 5 + 2 + 630 + 3 + 3 + 4 + 0 + 0 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4400332536 + ... + 4400354184.

Almost surely, 2^{95263033400640} is an apocalyptic number.

95263033400640 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 95263033400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198326581248000).

95263033400640 is an abundant number, since it is smaller than the sum of its proper divisors (301390129095360).

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

95263033400640 is a wasteful number, since it uses less digits than its factorization.

95263033400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24060 (or 24044 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

Adding to 95263033400640 its reverse (4600433036259), we get a palindrome (99863466436899).

The spelling of 95263033400640 in words is "ninety-five trillion, two hundred sixty-three billion, thirty-three million, four hundred thousand, six hundred forty".