5953167242400 has 288 divisors, whose sum is σ = 22169375319168. Its totient is φ = 1359274291200.

The previous prime is 5953167242387. The next prime is 5953167242417. The reversal of 5953167242400 is 42427613595.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5953167242400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15620514 + ... + 15997086.

It is an arithmetic number, because the mean of its divisors is an integer number (76976997636).

Almost surely, 2^{5953167242400} is an apocalyptic number.

5953167242400 is a gapful number since it is divisible by the number (50) 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 5953167242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11084687659584).

5953167242400 is an abundant number, since it is smaller than the sum of its proper divisors (16216208076768).

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

5953167242400 is a wasteful number, since it uses less digits than its factorization.

5953167242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377544 (or 377531 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 5953167242400 in words is "five trillion, nine hundred fifty-three billion, one hundred sixty-seven million, two hundred forty-two thousand, four hundred".