102994379280000 has 2560 divisors, whose sum is σ = 428798240640000. Its totient is φ = 24153292800000.

The previous prime is 102994379279983. The next prime is 102994379280007. The reversal of 102994379280000 is 82973499201.

102994379280000 is a `hidden beast` number, since 1 + 0 + 299 + 4 + 3 + 79 + 280 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102994379280007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 64331279200 + ... + 64331280800.

It is an arithmetic number, because the mean of its divisors is an integer number (167499312750).

Almost surely, 2^{102994379280000} is an apocalyptic number.

102994379280000 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 102994379280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214399120320000).

102994379280000 is an abundant number, since it is smaller than the sum of its proper divisors (325803861360000).

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

102994379280000 is a wasteful number, since it uses less digits than its factorization.

102994379280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 102994379280000 in words is "one hundred two trillion, nine hundred ninety-four billion, three hundred seventy-nine million, two hundred eighty thousand".