10201265254400 has 312 divisors, whose sum is σ = 29048156126400. Its totient is φ = 3514304102400.

The previous prime is 10201265254399. The next prime is 10201265254409. The reversal of 10201265254400 is 445256210201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10201265254409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21163271 + ... + 21639929.

Almost surely, 2^{10201265254400} is an apocalyptic number.

10201265254400 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 10201265254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14524078063200).

10201265254400 is an abundant number, since it is smaller than the sum of its proper divisors (18846890872000).

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

10201265254400 is a wasteful number, since it uses less digits than its factorization.

10201265254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476723 (or 476696 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 10201265254400 in words is "ten trillion, two hundred one billion, two hundred sixty-five million, two hundred fifty-four thousand, four hundred".