102276979390080 has 2304 divisors, whose sum is σ = 413407080253440. Its totient is φ = 23247544320000.

The previous prime is 102276979390067. The next prime is 102276979390081. The reversal of 102276979390080 is 80093979672201.

102276979390080 is a `hidden beast` number, since 10 + 2 + 2 + 76 + 97 + 9 + 390 + 0 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (102276979390081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93574546014 + ... + 93574547106.

It is an arithmetic number, because the mean of its divisors is an integer number (179430156360).

Almost surely, 2^{102276979390080} is an apocalyptic number.

102276979390080 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 102276979390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206703540126720).

102276979390080 is an abundant number, since it is smaller than the sum of its proper divisors (311130100863360).

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

102276979390080 is a wasteful number, since it uses less digits than its factorization.

102276979390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 102276979390080 in words is "one hundred two trillion, two hundred seventy-six billion, nine hundred seventy-nine million, three hundred ninety thousand, eighty".