95953661440 has 320 divisors, whose sum is σ = 284210809344. Its totient is φ = 30254727168.

The previous prime is 95953661389. The next prime is 95953661449. The reversal of 95953661440 is 4416635959.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95953661449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80836527 + ... + 80837713.

Almost surely, 2^95953661440 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 95953661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142105404672).

95953661440 is an abundant number, since it is smaller than the sum of its proper divisors (188257147904).

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

95953661440 is a wasteful number, since it uses less digits than its factorization.

95953661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 52.

The spelling of 95953661440 in words is "ninety-five billion, nine hundred fifty-three million, six hundred sixty-one thousand, four hundred forty".