253682114000 has 640 divisors, whose sum is σ = 752713728000. Its totient is φ = 82555200000.

The previous prime is 253682113961. The next prime is 253682114039. The reversal of 253682114000 is 411286352.

It is an interprime number because it is at equal distance from previous prime (253682113961) and next prime (253682114039).

It is a super-2 number, since 2×253682114000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1680013925 + ... + 1680014075.

It is an arithmetic number, because the mean of its divisors is an integer number (1176115200).

Almost surely, 2^253682114000 is an apocalyptic number.

253682114000 is a gapful number since it is divisible by the number (20) 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 253682114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376356864000).

253682114000 is an abundant number, since it is smaller than the sum of its proper divisors (499031614000).

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

253682114000 is a wasteful number, since it uses less digits than its factorization.

253682114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 253682114000 in words is "two hundred fifty-three billion, six hundred eighty-two million, one hundred fourteen thousand".