6253915200000 has 1920 divisors, whose sum is σ = 23973493598208. Its totient is φ = 1437696000000.

The previous prime is 6253915199981. The next prime is 6253915200007. The reversal of 6253915200000 is 25193526.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×6253915200000² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6253915200007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102523199970 + ... + 102523200030.

Almost surely, 2^{6253915200000} is an apocalyptic number.

6253915200000 is a gapful number since it is divisible by the number (60) 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 6253915200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11986746799104).

6253915200000 is an abundant number, since it is smaller than the sum of its proper divisors (17719578398208).

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

6253915200000 is an equidigital number, since it uses as much as digits as its factorization.

6253915200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 6253915200000 in words is "six trillion, two hundred fifty-three billion, nine hundred fifteen million, two hundred thousand".