10019770154064 has 240 divisors, whose sum is σ = 31383475329024. Its totient is φ = 2957823590400.

The previous prime is 10019770154063. The next prime is 10019770154071. The reversal of 10019770154064 is 46045107791001.

10019770154064 is a `hidden beast` number, since 10 + 0 + 1 + 97 + 7 + 0 + 1 + 540 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10019770154063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43592689 + ... + 43821935.

Almost surely, 2^{10019770154064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10019770154064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15691737664512).

10019770154064 is an abundant number, since it is smaller than the sum of its proper divisors (21363705174960).

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

10019770154064 is a wasteful number, since it uses less digits than its factorization.

10019770154064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229986 (or 229977 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10019770154064 in words is "ten trillion, nineteen billion, seven hundred seventy million, one hundred fifty-four thousand, sixty-four".