153263877943680 has 640 divisors, whose sum is σ = 640780137264960. Its totient is φ = 34177307443200.

The previous prime is 153263877943597. The next prime is 153263877943789. The reversal of 153263877943680 is 86349778362351.

153263877943680 is a `hidden beast` number, since 1 + 5 + 32 + 6 + 3 + 87 + 7 + 9 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 153263877943599 and 153263877943608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9727420 + ... + 20028740.

It is a 1-persistent number, because it is pandigital, but 2⋅153263877943680 = 306527755887360 is not.

Almost surely, 2^{153263877943680} is an apocalyptic number.

153263877943680 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 153263877943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320390068632480).

153263877943680 is an abundant number, since it is smaller than the sum of its proper divisors (487516259321280).

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

153263877943680 is a wasteful number, since it uses less digits than its factorization.

153263877943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10301400 (or 10301379 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 153263877943680 in words is "one hundred fifty-three trillion, two hundred sixty-three billion, eight hundred seventy-seven million, nine hundred forty-three thousand, six hundred eighty".