102894543752000 has 1344 divisors, whose sum is σ = 349281578580480. Its totient is φ = 29515788288000.

The previous prime is 102894543751999. The next prime is 102894543752051. The reversal of 102894543752000 is 257345498201.

It is a super-3 number, since 3×102894543752000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 102894543752000.

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, 20124101444 + ... + 20124106556.

It is an arithmetic number, because the mean of its divisors is an integer number (259882126920).

Almost surely, 2^{102894543752000} is an apocalyptic number.

102894543752000 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 102894543752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174640789290240).

102894543752000 is an abundant number, since it is smaller than the sum of its proper divisors (246387034828480).

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

102894543752000 is a wasteful number, since it uses less digits than its factorization.

102894543752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 102894543752000 in words is "one hundred two trillion, eight hundred ninety-four billion, five hundred forty-three million, seven hundred fifty-two thousand".