953160868800 has 1344 divisors, whose sum is σ = 4340945018880. Its totient is φ = 198402048000.

The previous prime is 953160868763. The next prime is 953160868801. The reversal of 953160868800 is 8868061359.

953160868800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (953160868801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159361810 + ... + 159367790.

Almost surely, 2^953160868800 is an apocalyptic number.

953160868800 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 953160868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170472509440).

953160868800 is an abundant number, since it is smaller than the sum of its proper divisors (3387784150080).

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

953160868800 is a wasteful number, since it uses less digits than its factorization.

953160868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6067 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 953160868800 in words is "nine hundred fifty-three billion, one hundred sixty million, eight hundred sixty-eight thousand, eight hundred".