10955468737500 has 1152 divisors, whose sum is σ = 39581626613760. Its totient is φ = 2301696000000.

The previous prime is 10955468737469. The next prime is 10955468737541. The reversal of 10955468737500 is 573786455901.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49127662389 + ... + 49127662611.

It is an arithmetic number, because the mean of its divisors is an integer number (34359050880).

Almost surely, 2^{10955468737500} is an apocalyptic number.

10955468737500 is a gapful number since it is divisible by the number (10) 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 10955468737500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19790813306880).

10955468737500 is an abundant number, since it is smaller than the sum of its proper divisors (28626157876260).

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

10955468737500 is a wasteful number, since it uses less digits than its factorization.

10955468737500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 60.

The spelling of 10955468737500 in words is "ten trillion, nine hundred fifty-five billion, four hundred sixty-eight million, seven hundred thirty-seven thousand, five hundred".