155263965620400 has 1920 divisors, whose sum is σ = 704407526144000. Its totient is φ = 32269379788800.

The previous prime is 155263965620359. The next prime is 155263965620411. The reversal of 155263965620400 is 4026569362551.

155263965620400 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 6 + 3 + 9 + 6 + 5 + 620 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3226508340 + ... + 3226556460.

Almost surely, 2^{155263965620400} is an apocalyptic number.

155263965620400 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 155263965620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352203763072000).

155263965620400 is an abundant number, since it is smaller than the sum of its proper divisors (549143560523600).

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

155263965620400 is a wasteful number, since it uses less digits than its factorization.

155263965620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48249 (or 48218 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 155263965620400 in words is "one hundred fifty-five trillion, two hundred sixty-three billion, nine hundred sixty-five million, six hundred twenty thousand, four hundred".