10190828894400 has 5040 divisors, whose sum is σ = 51383959216128. Its totient is φ = 1931334451200.

The previous prime is 10190828894377. The next prime is 10190828894413. The reversal of 10190828894400 is 449882809101.

It is a happy number.

10190828894400 is a `hidden beast` number, since 1 + 0 + 190 + 8 + 2 + 8 + 8 + 9 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 80242747137 + ... + 80242747263.

Almost surely, 2^{10190828894400} is an apocalyptic number.

10190828894400 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 10190828894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25691979608064).

10190828894400 is an abundant number, since it is smaller than the sum of its proper divisors (41193130321728).

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

10190828894400 is a wasteful number, since it uses less digits than its factorization.

10190828894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 10190828894400 in words is "ten trillion, one hundred ninety billion, eight hundred twenty-eight million, eight hundred ninety-four thousand, four hundred".