102454955366400 has 3456 divisors, whose sum is σ = 482917011333120. Its totient is φ = 20164902912000.

The previous prime is 102454955366399. The next prime is 102454955366419. The reversal of 102454955366400 is 4663559454201.

102454955366400 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 5 + 49 + 5 + 536 + 64 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39542629105 + ... + 39542631695.

It is an arithmetic number, because the mean of its divisors is an integer number (139732931520).

Almost surely, 2^{102454955366400} is an apocalyptic number.

102454955366400 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 102454955366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241458505666560).

102454955366400 is an abundant number, since it is smaller than the sum of its proper divisors (380462055966720).

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

102454955366400 is a wasteful number, since it uses less digits than its factorization.

102454955366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 102454955366400 in words is "one hundred two trillion, four hundred fifty-four billion, nine hundred fifty-five million, three hundred sixty-six thousand, four hundred".