960983654400 has 2688 divisors, whose sum is σ = 4594747345920. Its totient is φ = 191102976000.

The previous prime is 960983654399. The next prime is 960983654431. The reversal of 960983654400 is 4456389069.

960983654400 is a `hidden beast` number, since 9 + 6 + 0 + 98 + 3 + 6 + 544 + 0 + 0 = 666.

960983654400 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 (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15753830370 + ... + 15753830430.

Almost surely, 2^960983654400 is an apocalyptic number.

960983654400 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 960983654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297373672960).

960983654400 is an abundant number, since it is smaller than the sum of its proper divisors (3633763691520).

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

960983654400 is a wasteful number, since it uses less digits than its factorization.

960983654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 960983654400 in words is "nine hundred sixty billion, nine hundred eighty-three million, six hundred fifty-four thousand, four hundred".