253557963149400 has 768 divisors, whose sum is σ = 1075252012800000. Its totient is φ = 53481041233920.

The previous prime is 253557963149399. The next prime is 253557963149429. The reversal of 253557963149400 is 4941369755352.

253557963149400 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 57 + 96 + 3 + 1 + 494 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1586650701 + ... + 1586810499.

It is an arithmetic number, because the mean of its divisors is an integer number (1400067725000).

Almost surely, 2^{253557963149400} is an apocalyptic number.

253557963149400 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 253557963149400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537626006400000).

253557963149400 is an abundant number, since it is smaller than the sum of its proper divisors (821694049650600).

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

253557963149400 is a wasteful number, since it uses less digits than its factorization.

253557963149400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163073 (or 163058 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 253557963149400 in words is "two hundred fifty-three trillion, five hundred fifty-seven billion, nine hundred sixty-three million, one hundred forty-nine thousand, four hundred".