1253498400000 has 3888 divisors, whose sum is σ = 6389326681920. Its totient is φ = 232243200000.

The previous prime is 1253498399999. The next prime is 1253498400013. The reversal of 1253498400000 is 48943521.

1253498400000 is a `hidden beast` number, since 125 + 3 + 498 + 40 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 65973599991 + ... + 65973600009.

It is an arithmetic number, because the mean of its divisors is an integer number (1643345340).

Almost surely, 2^{1253498400000} is an apocalyptic number.

1253498400000 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 1253498400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194663340960).

1253498400000 is an abundant number, since it is smaller than the sum of its proper divisors (5135828281920).

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

1253498400000 is a wasteful number, since it uses less digits than its factorization.

1253498400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1253498400000 in words is "one trillion, two hundred fifty-three billion, four hundred ninety-eight million, four hundred thousand".