10056901859040 has 192 divisors, whose sum is σ = 33349386873600. Its totient is φ = 2540476329984.

The previous prime is 10056901859029. The next prime is 10056901859063. The reversal of 10056901859040 is 4095810965001.

It is a super-2 number, since 2×10056901859040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126846931 + ... + 126926189.

It is an arithmetic number, because the mean of its divisors is an integer number (173694723300).

Almost surely, 2^{10056901859040} is an apocalyptic number.

10056901859040 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 10056901859040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16674693436800).

10056901859040 is an abundant number, since it is smaller than the sum of its proper divisors (23292485014560).

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

10056901859040 is a wasteful number, since it uses less digits than its factorization.

10056901859040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93209 (or 93201 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 10056901859040 in words is "ten trillion, fifty-six billion, nine hundred one million, eight hundred fifty-nine thousand, forty".