10052179950400 has 504 divisors, whose sum is σ = 29706954633216. Its totient is φ = 3335573606400.

The previous prime is 10052179950361. The next prime is 10052179950443. The reversal of 10052179950400 is 405997125001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554043729 + ... + 554061871.

It is an arithmetic number, because the mean of its divisors is an integer number (58942370304).

Almost surely, 2^{10052179950400} is an apocalyptic number.

10052179950400 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 10052179950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14853477316608).

10052179950400 is an abundant number, since it is smaller than the sum of its proper divisors (19654774682816).

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

10052179950400 is a wasteful number, since it uses less digits than its factorization.

10052179950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18407 (or 18385 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 43.

The spelling of 10052179950400 in words is "ten trillion, fifty-two billion, one hundred seventy-nine million, nine hundred fifty thousand, four hundred".