9953911377900 has 864 divisors, whose sum is σ = 38544353003520. Its totient is φ = 2096962560000.

The previous prime is 9953911377763. The next prime is 9953911377923. The reversal of 9953911377900 is 97731193599.

9953911377900 is a `hidden beast` number, since 9 + 9 + 539 + 1 + 1 + 3 + 7 + 7 + 90 + 0 = 666.

9953911377900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1148214766 + ... + 1148223434.

It is an arithmetic number, because the mean of its divisors is an integer number (44611519680).

Almost surely, 2^{9953911377900} is an apocalyptic number.

9953911377900 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 9953911377900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19272176501760).

9953911377900 is an abundant number, since it is smaller than the sum of its proper divisors (28590441625620).

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

9953911377900 is a wasteful number, since it uses less digits than its factorization.

9953911377900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8935 (or 8925 counting only the distinct ones).

The product of its (nonzero) digits is 14467005, while the sum is 63.

The spelling of 9953911377900 in words is "nine trillion, nine hundred fifty-three billion, nine hundred eleven million, three hundred seventy-seven thousand, nine hundred".